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	7326m	Isogeny class
Conductor	7326	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	101376	Modular degree for the optimal curve
Δ	170388737747883072 = 26 · 317 · 11 · 374	Discriminant
Eigenvalues	2- 3-  0 -2 11-  4 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-332510,-70994131]	[a1,a2,a3,a4,a6]
Generators	[-353:1693:1]	Generators of the group modulo torsion
j	5577108481460841625/233729407061568	j-invariant
L	5.982499292649	L(r)(E,1)/r!
Ω	0.19932909963521	Real period
R	2.5010979763272	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	58608bd1 2442f1 80586l1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 7326m1

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

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Quadratic twists for elliptic curve 7326m1

-4	-3	-11
58608bd1	2442f1	80586l1

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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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