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	1840h	Isogeny class
Conductor	1840	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-2574537200 = -1 · 24 · 52 · 235	Discriminant
Eigenvalues	2- -3 5+ -2  0 -3  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-73,-2453]	[a1,a2,a3,a4,a6]
Generators	[26:115:1]	Generators of the group modulo torsion
j	-2688885504/160908575	j-invariant
L	1.6173700459563	L(r)(E,1)/r!
Ω	0.63450804898082	Real period
R	0.25490142300862	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	460b1 7360bb1 16560bw1 9200w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1840h1

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
-	-3	+	-2	0	-3	4	4	-	1	-1	-8	11	10	1	-6	8	-8	-12	-13	7	12	-16	-6	2

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Quadratic twists for elliptic curve 1840h1

-4	8	-3	5	-7	-23
460b1	7360bb1	16560bw1	9200w1	90160dj1	42320be1

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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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