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	7245k	Isogeny class
Conductor	7245	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-15497417431125 = -1 · 314 · 53 · 72 · 232	Discriminant
Eigenvalues	1 3- 5+ 7-  2 -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,3555,170046]	[a1,a2,a3,a4,a6]
Generators	[-30:204:1]	Generators of the group modulo torsion
j	6814692748079/21258460125	j-invariant
L	4.6980901305575	L(r)(E,1)/r!
Ω	0.49329574495001	Real period
R	2.3809703299963	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	115920dc2 2415i2 36225bj2 50715bn2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7245k2

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

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Quadratic twists for elliptic curve 7245k2

-4	-3	5	-7
115920dc2	2415i2	36225bj2	50715bn2

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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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