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	7245p	Isogeny class
Conductor	7245	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-38984186705625 = -1 · 318 · 54 · 7 · 23	Discriminant
Eigenvalues	1 3- 5- 7+ -4 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4311,-281030]	[a1,a2,a3,a4,a6]
j	12152722588271/53476250625	j-invariant
L	1.30783998854	L(r)(E,1)/r!
Ω	0.326959997135	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	115920ew3 2415a4 36225bp3 50715bb3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7245p4

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	-6	2	0	-	-6	0	2	-6	4	0	-6	12	10	4	-4	-2	0	0	10	-2

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Quadratic twists for elliptic curve 7245p4

-4	-3	5	-7
115920ew3	2415a4	36225bp3	50715bb3

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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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