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	7150g	Isogeny class
Conductor	7150	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	129803222656250 = 2 · 512 · 112 · 133	Discriminant
Eigenvalues	2+  2 5+  4 11- 13+  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-585150,-172528750]	[a1,a2,a3,a4,a6]
j	1418098748958579169/8307406250	j-invariant
L	3.1071005901155	L(r)(E,1)/r!
Ω	0.17261669945086	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	57200bf4 64350dq4 1430g4 78650cm4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7150g4

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
+	2	+	4	-	+	6	8	0	0	-4	-2	12	-8	-6	12	12	8	-8	-12	10	-4	-12	6	-8

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Quadratic twists for elliptic curve 7150g4

-4	-3	5	-11	13
57200bf4	64350dq4	1430g4	78650cm4	92950bq4

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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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