Cremona's table of elliptic curves

1914 = 2 · 3 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	1914m	Isogeny class
Conductor	1914	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	62995224591882 = 2 · 36 · 116 · 293	Discriminant
Eigenvalues	2- 3-  0 -4 11+ -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-260898,-51312870]	[a1,a2,a3,a4,a6]
Generators	[380340:29018625:64]	Generators of the group modulo torsion
j	1963975500122834382625/62995224591882	j-invariant
L	4.435230632237	L(r)(E,1)/r!
Ω	0.2112431789013	Real period
R	6.9986175100898	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15312p4 61248l4 5742j4 47850f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914m4

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

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Quadratic twists for elliptic curve 1914m4

-4	8	-3	5	-7	-11	29
15312p4	61248l4	5742j4	47850f4	93786br4	21054o4	55506k4

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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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