Cremona's table of elliptic curves

7350 = 2 · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	7350n	Isogeny class
Conductor	7350	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	33600	Modular degree for the optimal curve
Δ	-1513260262500000 = -1 · 25 · 3 · 58 · 79	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 -3 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9825,-1912875]	[a1,a2,a3,a4,a6]
Generators	[1630:16335:8]	Generators of the group modulo torsion
j	-6655/96	j-invariant
L	2.4531908750169	L(r)(E,1)/r!
Ω	0.20425026698924	Real period
R	2.0017851230407	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58800jn1 22050fj1 7350cl1 7350bi1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350n1

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	-3	-3	-2	3	7	1	4	-5	-3	-4	1	13	13	-4	-4	0	4	-7	-6	-14

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Quadratic twists for elliptic curve 7350n1

-4	-3	5	-7
58800jn1	22050fj1	7350cl1	7350bi1

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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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