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	7350ch	Isogeny class
Conductor	7350	Conductor
∏ cp	840	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-1417766490000000 = -1 · 27 · 310 · 57 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7+ -1 -1  0 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-15338,1952292]	[a1,a2,a3,a4,a6]
Generators	[172:-2186:1]	Generators of the group modulo torsion
j	-10637008249/37791360	j-invariant
L	7.1952084137398	L(r)(E,1)/r!
Ω	0.41988649354084	Real period
R	0.02040009486811	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	58800et1 22050w1 1470a1 7350bs1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350ch1

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	-1	0	-3	-7	-8	-2	-11	-11	-8	5	11	4	0	0	-6	6	-8	-8	-10	16

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Quadratic twists for elliptic curve 7350ch1

-4	-3	5	-7
58800et1	22050w1	1470a1	7350bs1

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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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