Cremona's table of elliptic curves

7150 = 2 · 5² · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+ 13-	Signs for the Atkin-Lehner involutions
Class	7150q	Isogeny class
Conductor	7150	Conductor
∏ cp	304	Product of Tamagawa factors cp
deg	1225728	Modular degree for the optimal curve
Δ	-5.74274427584E+24	Discriminant
Eigenvalues	2-  1 5+ -1 11+ 13-  1  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-26745563,-126997214383]	[a1,a2,a3,a4,a6]
Generators	[23582:3503409:1]	Generators of the group modulo torsion
j	-135412551115258010417641/367535633653760000000	j-invariant
L	6.819638545224	L(r)(E,1)/r!
Ω	0.03081381171383	Real period
R	0.72801838794495	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	57200bv1 64350bs1 1430b1 78650c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150q1

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	+	-	1	3	-6	-1	-7	-7	6	-4	-6	5	-14	13	-8	-5	-10	2	14	17	-8

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Quadratic twists for elliptic curve 7150q1

-4	-3	5	-11	13
57200bv1	64350bs1	1430b1	78650c1	92950j1

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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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