Cremona's table of elliptic curves

7616 = 2⁶ · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 7- 17+	Signs for the Atkin-Lehner involutions
Class	7616d	Isogeny class
Conductor	7616	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	34330621509632 = 223 · 72 · 174	Discriminant
Eigenvalues	2+ -2 -4 7-  4  4 17+  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8225,-57281]	[a1,a2,a3,a4,a6]
j	234770924809/130960928	j-invariant
L	1.0761751752168	L(r)(E,1)/r!
Ω	0.53808758760838	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7616f2 238e2 68544cr2 53312z2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7616d2

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

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Quadratic twists for elliptic curve 7616d2

-4	8	-3	-7	17
7616f2	238e2	68544cr2	53312z2	129472j2

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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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