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	85504662747108 = 22 · 33 · 113 · 296	Discriminant
Eigenvalues	2- 3-  0 -4 11+ -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-17008,-730084]	[a1,a2,a3,a4,a6]
Generators	[-52:146:1]	Generators of the group modulo torsion
j	544107922591866625/85504662747108	j-invariant
L	4.435230632237	L(r)(E,1)/r!
Ω	0.4224863578026	Real period
R	3.4993087550449	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	15312p3 61248l3 5742j3 47850f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914m3

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 1914m3

-4	8	-3	5	-7	-11	29
15312p3	61248l3	5742j3	47850f3	93786br3	21054o3	55506k3

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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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