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	1914b	Isogeny class
Conductor	1914	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3600	Modular degree for the optimal curve
Δ	-157824826368 = -1 · 210 · 3 · 116 · 29	Discriminant
Eigenvalues	2+ 3+  0  0 11+  6 -2  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14195,645357]	[a1,a2,a3,a4,a6]
j	-316357187835741625/157824826368	j-invariant
L	1.010122895161	L(r)(E,1)/r!
Ω	1.010122895161	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15312y1 61248t1 5742w1 47850cn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914b1

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

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Quadratic twists for elliptic curve 1914b1

-4	8	-3	5	-7	-11	29
15312y1	61248t1	5742w1	47850cn1	93786bi1	21054x1	55506bf1

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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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