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	7150r	Isogeny class
Conductor	7150	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-196625000 = -1 · 23 · 56 · 112 · 13	Discriminant
Eigenvalues	2-  1 5+ -1 11+ 13-  1 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-838,9292]	[a1,a2,a3,a4,a6]
Generators	[18:2:1]	Generators of the group modulo torsion
j	-4165509529/12584	j-invariant
L	6.8093301691948	L(r)(E,1)/r!
Ω	1.7949277766476	Real period
R	0.63227522371519	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	57200bw1 64350bt1 286c1 78650d1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150r1

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	-4	8	-8	0	-7	-8	-11	1	-2	14	-8	-8	9	4	2	0	-4	-8

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Quadratic twists for elliptic curve 7150r1

-4	-3	5	-11	13
57200bw1	64350bt1	286c1	78650d1	92950k1

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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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