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	2914f	Isogeny class
Conductor	2914	Conductor
∏ cp	21	Product of Tamagawa factors cp
Δ	395902847104 = 27 · 313 · 473	Discriminant
Eigenvalues	2-  1 -3 -1  6 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11532,-476656]	[a1,a2,a3,a4,a6]
Generators	[-62:62:1]	Generators of the group modulo torsion
j	169605513858025153/395902847104	j-invariant
L	4.7086903291732	L(r)(E,1)/r!
Ω	0.46076991550335	Real period
R	0.48662758019543	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	23312k2 93248l2 26226m2 72850k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2914f2

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	6	-4	0	-4	3	6	-	-7	-12	-10	+	6	-12	-13	-7	0	-7	14	0	-6	14

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Quadratic twists for elliptic curve 2914f2

-4	8	-3	5	-31
23312k2	93248l2	26226m2	72850k2	90334v2

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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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