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	9520d	Isogeny class
Conductor	9520	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	18126080000 = 211 · 54 · 72 · 172	Discriminant
Eigenvalues	2+  0 5- 7-  6  4 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-26627,1672354]	[a1,a2,a3,a4,a6]
Generators	[93:20:1]	Generators of the group modulo torsion
j	1019437193909682/8850625	j-invariant
L	5.0780075627608	L(r)(E,1)/r!
Ω	1.1041158290396	Real period
R	0.28744762490057	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4760c2 38080bg2 85680bn2 47600c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9520d2

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
+	0	-	-	6	4	+	-2	-8	-4	0	-8	-6	-12	0	2	-6	-6	-8	-4	-10	4	-14	-6	18

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Quadratic twists for elliptic curve 9520d2

-4	8	-3	5	-7
4760c2	38080bg2	85680bn2	47600c2	66640h2

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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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