Cremona's table of elliptic curves

374 = 2 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 11+ 17+	Signs for the Atkin-Lehner involutions
Class	374a	Isogeny class
Conductor	374	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	40	Modular degree for the optimal curve
Δ	2106368 = 210 · 112 · 17	Discriminant
Eigenvalues	2+  0  0 -2 11+ -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-32,0]	[a1,a2,a3,a4,a6]
Generators	[-1:6:1]	Generators of the group modulo torsion
j	3687953625/2106368	j-invariant
L	1.3150843335092	L(r)(E,1)/r!
Ω	2.1703306561752	Real period
R	0.60593731640263	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	2992g1 11968d1 3366p1 9350w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 374a1

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	-2	+	-2	+	-4	6	-4	-2	-4	-2	-4	0	2	4	0	12	2	2	-14	12	6	-2

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Quadratic twists for elliptic curve 374a1

-4	8	-3	5	-7	-11	13	17
2992g1	11968d1	3366p1	9350w1	18326i1	4114c1	63206j1	6358d1

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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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