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	9520o	Isogeny class
Conductor	9520	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-3276854067200000 = -1 · 219 · 55 · 76 · 17	Discriminant
Eigenvalues	2- -1 5- 7-  2 -3 17- -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,8360,2735600]	[a1,a2,a3,a4,a6]
Generators	[620:15680:1]	Generators of the group modulo torsion
j	15773593568039/800013200000	j-invariant
L	3.9283075309343	L(r)(E,1)/r!
Ω	0.33982354506519	Real period
R	0.096332042221615	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1190b1 38080bj1 85680eh1 47600p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9520o1

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	-	-	2	-3	-	-1	2	-9	11	-6	2	-8	-7	5	-9	-1	16	13	-5	-4	-2	-3	1

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Quadratic twists for elliptic curve 9520o1

-4	8	-3	5	-7
1190b1	38080bj1	85680eh1	47600p1	66640bc1

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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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