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	7616k	Isogeny class
Conductor	7616	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	363797676032 = 219 · 74 · 172	Discriminant
Eigenvalues	2-  2  0 7- -2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1793,-2911]	[a1,a2,a3,a4,a6]
Generators	[85:672:1]	Generators of the group modulo torsion
j	2433138625/1387778	j-invariant
L	5.9120750129055	L(r)(E,1)/r!
Ω	0.79384153924822	Real period
R	0.93092807578832	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	7616b2 1904e2 68544ep2 53312ch2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7616k2

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

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Quadratic twists for elliptic curve 7616k2

-4	8	-3	-7	17
7616b2	1904e2	68544ep2	53312ch2	129472cf2

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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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