Cremona's table of elliptic curves

7326 = 2 · 3² · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 37+	Signs for the Atkin-Lehner involutions
Class	7326f	Isogeny class
Conductor	7326	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-5775084158976 = -1 · 216 · 39 · 112 · 37	Discriminant
Eigenvalues	2- 3+ -2  0 11- -2 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,214,115561]	[a1,a2,a3,a4,a6]
Generators	[17:343:1]	Generators of the group modulo torsion
j	55306341/293404672	j-invariant
L	5.5035343544851	L(r)(E,1)/r!
Ω	0.59710125337798	Real period
R	0.57606795365002	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	58608v1 7326a1 80586a1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 7326f1

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

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Quadratic twists for elliptic curve 7326f1

-4	-3	-11
58608v1	7326a1	80586a1

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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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