Cremona's table of elliptic curves

1840 = 2⁴ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 23+	Signs for the Atkin-Lehner involutions
Class	1840a	Isogeny class
Conductor	1840	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-9200 = -1 · 24 · 52 · 23	Discriminant
Eigenvalues	2+ -1 5+  2  0  1 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4,-5]	[a1,a2,a3,a4,a6]
Generators	[3:5:1]	Generators of the group modulo torsion
j	340736/575	j-invariant
L	2.4708034663347	L(r)(E,1)/r!
Ω	2.1587005386952	Real period
R	0.57228953762808	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	920c1 7360v1 16560u1 9200f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1840a1

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	+	2	0	1	-4	4	+	-3	1	-8	-5	6	-9	2	0	0	-4	-3	7	-4	-8	-14	-14

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Quadratic twists for elliptic curve 1840a1

-4	8	-3	5	-7	-23
920c1	7360v1	16560u1	9200f1	90160bb1	42320h1

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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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