Cremona's table of elliptic curves

2912 = 2⁵ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	2912c	Isogeny class
Conductor	2912	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-18905589248 = -1 · 29 · 75 · 133	Discriminant
Eigenvalues	2+ -1  0 7-  1 13-  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,632,2324]	[a1,a2,a3,a4,a6]
Generators	[116:1274:1]	Generators of the group modulo torsion
j	54439939000/36924979	j-invariant
L	2.8701886517969	L(r)(E,1)/r!
Ω	0.76974527124567	Real period
R	0.12429170874291	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	2912b1 5824z1 26208br1 72800bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2912c1

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	0	-	1	-	4	-6	-5	8	1	-5	-7	8	-7	4	-10	7	-7	-12	9	1	-8	-6	19

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Quadratic twists for elliptic curve 2912c1

-4	8	-3	5	-7	13
2912b1	5824z1	26208br1	72800bg1	20384d1	37856k1

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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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