Cremona's table of elliptic curves

2914 = 2 · 31 · 47

Field	Data	Notes
Atkin-Lehner	2+ 31- 47-	Signs for the Atkin-Lehner involutions
Class	2914b	Isogeny class
Conductor	2914	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	11201416 = 23 · 313 · 47	Discriminant
Eigenvalues	2+  1  3 -1  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2632,-52178]	[a1,a2,a3,a4,a6]
Generators	[-1900:949:64]	Generators of the group modulo torsion
j	2015320626946297/11201416	j-invariant
L	3.2084505680639	L(r)(E,1)/r!
Ω	0.66657342680276	Real period
R	1.6044496820369	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	23312f2 93248r2 26226x2 72850q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2914b2

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	3	-1	0	-4	0	-4	-3	0	-	-7	0	8	-	6	-12	-1	-13	0	-1	-10	-12	0	-10

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Quadratic twists for elliptic curve 2914b2

-4	8	-3	5	-31
23312f2	93248r2	26226x2	72850q2	90334i2

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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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