Cremona's table of elliptic curves

7245 = 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	7245c	Isogeny class
Conductor	7245	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	25920	Modular degree for the optimal curve
Δ	166439878565625 = 39 · 55 · 76 · 23	Discriminant
Eigenvalues	-1 3+ 5+ 7+ -4  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-37343,2716606]	[a1,a2,a3,a4,a6]
j	292583028222603/8456021875	j-invariant
L	0.57109456047423	L(r)(E,1)/r!
Ω	0.57109456047423	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	115920cg1 7245f1 36225d1 50715g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7245c1

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
-1	+	+	+	-4	4	-6	4	-	4	-8	2	-2	0	0	8	-10	-8	-4	8	0	6	-6	-14	-14

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Quadratic twists for elliptic curve 7245c1

-4	-3	5	-7
115920cg1	7245f1	36225d1	50715g1

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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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