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	7350bx	Isogeny class
Conductor	7350	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-7.0934074804687E+21	Discriminant
Eigenvalues	2- 3+ 5+ 7-  6 -6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,4179062,2369707031]	[a1,a2,a3,a4,a6]
Generators	[755:76797:1]	Generators of the group modulo torsion
j	12801408679457/11250000000	j-invariant
L	5.4270602888441	L(r)(E,1)/r!
Ω	0.086329661134768	Real period
R	2.2451562903955	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	58800je2 22050bx2 1470i2 7350cs2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350bx2

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
-	+	+	-	6	-6	0	-4	0	-8	2	-4	-10	6	2	-10	-4	14	-14	8	-6	-8	8	-18	-2

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Quadratic twists for elliptic curve 7350bx2

-4	-3	5	-7
58800je2	22050bx2	1470i2	7350cs2

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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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