Cremona's table of elliptic curves

7320 = 2³ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 61-	Signs for the Atkin-Lehner involutions
Class	7320p	Isogeny class
Conductor	7320	Conductor
∏ cp	336	Product of Tamagawa factors cp
deg	43008	Modular degree for the optimal curve
Δ	10856430865890000 = 24 · 314 · 54 · 613	Discriminant
Eigenvalues	2- 3- 5-  0  2 -6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-57435,1695150]	[a1,a2,a3,a4,a6]
Generators	[15:915:1]	Generators of the group modulo torsion
j	1309607540948125696/678526929118125	j-invariant
L	5.2039870433487	L(r)(E,1)/r!
Ω	0.35638860704278	Real period
R	0.17383335348623	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	14640d1 58560a1 21960d1 36600a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7320p1

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	-6	0	-4	-6	-8	4	10	6	0	8	0	-6	-	-8	-10	-6	-8	-12	-8	-10

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Quadratic twists for elliptic curve 7320p1

-4	8	-3	5
14640d1	58560a1	21960d1	36600a1

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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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