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	7245d	Isogeny class
Conductor	7245	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	725760	Modular degree for the optimal curve
Δ	-8.9792548791962E+21	Discriminant
Eigenvalues	2 3+ 5+ 7+ -1  4  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-12433203,17479222733]	[a1,a2,a3,a4,a6]
j	-10798949077834033410048/456193409500390625	j-invariant
L	3.6107315089244	L(r)(E,1)/r!
Ω	0.1289546967473	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	115920ce1 7245g1 36225h1 50715h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7245d1

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	+	+	+	-1	4	0	1	-	-8	4	8	7	-6	-3	5	11	13	14	8	0	12	-6	4	-14

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Quadratic twists for elliptic curve 7245d1

-4	-3	5	-7
115920ce1	7245g1	36225h1	50715h1

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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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