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	1914k	Isogeny class
Conductor	1914	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	1200	Modular degree for the optimal curve
Δ	-22947512544 = -1 · 25 · 35 · 112 · 293	Discriminant
Eigenvalues	2- 3+ -1 -1 11+  0 -1  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,649,-3283]	[a1,a2,a3,a4,a6]
Generators	[71:-674:1]	Generators of the group modulo torsion
j	30228456935951/22947512544	j-invariant
L	3.4668646107601	L(r)(E,1)/r!
Ω	0.67184936987694	Real period
R	0.17200604610699	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	15312z1 61248u1 5742i1 47850bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914k1

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	-1	+	0	-1	1	-2	-	-6	-9	3	7	3	-10	-3	-2	-14	0	-6	-10	4	-14	10

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Quadratic twists for elliptic curve 1914k1

-4	8	-3	5	-7	-11	29
15312z1	61248u1	5742i1	47850bd1	93786cw1	21054d1	55506o1

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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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