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	7150o	Isogeny class
Conductor	7150	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	20736	Modular degree for the optimal curve
Δ	-113464355468750 = -1 · 2 · 515 · 11 · 132	Discriminant
Eigenvalues	2- -1 5+  1 11+ 13+  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-12188,723531]	[a1,a2,a3,a4,a6]
j	-12814546750201/7261718750	j-invariant
L	2.1975420864032	L(r)(E,1)/r!
Ω	0.54938552160079	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	57200bm1 64350bk1 1430d1 78650q1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150o1

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	+	+	3	-7	0	-3	5	7	0	10	-12	9	-6	-1	4	15	-2	8	6	3	-8

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Quadratic twists for elliptic curve 7150o1

-4	-3	5	-11	13
57200bm1	64350bk1	1430d1	78650q1	92950m1

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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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