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	108	Product of Tamagawa factors cp
Δ	10875667967208 = 23 · 318 · 112 · 29	Discriminant
Eigenvalues	2- 3-  0 -4 11+ -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5748,53928]	[a1,a2,a3,a4,a6]
Generators	[-78:210:1]	Generators of the group modulo torsion
j	21002873311842625/10875667967208	j-invariant
L	4.435230632237	L(r)(E,1)/r!
Ω	0.6337295367039	Real period
R	2.3328725033633	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	15312p2 61248l2 5742j2 47850f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914m2

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 1914m2

-4	8	-3	5	-7	-11	29
15312p2	61248l2	5742j2	47850f2	93786br2	21054o2	55506k2

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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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