Cremona's table of elliptic curves

9520 = 2⁴ · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	9520l	Isogeny class
Conductor	9520	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	12672	Modular degree for the optimal curve
Δ	-246514688000 = -1 · 213 · 53 · 72 · 173	Discriminant
Eigenvalues	2- -1 5- 7+ -6 -7 17- -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-680,25072]	[a1,a2,a3,a4,a6]
Generators	[284:4760:1] [-33738612126:-410267508490:2305199161]	Generators of the group modulo torsion
j	-8502154921/60184250	j-invariant
L	5.0176011890005	L(r)(E,1)/r!
Ω	0.84841849255256	Real period
R	0.082139776554281	Regulator
r	2	Rank of the group of rational points
S	0.99999999999996	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1190c1 38080bd1 85680dv1 47600y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9520l1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	-	+	-6	-7	-	-5	-6	3	-5	2	-6	-8	-3	-3	3	-1	-8	-15	-13	4	6	-15	17

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Quadratic twists for elliptic curve 9520l1

-4	8	-3	5	-7
1190c1	38080bd1	85680dv1	47600y1	66640bd1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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