Cremona's table of elliptic curves

1860 = 2² · 3 · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31+	Signs for the Atkin-Lehner involutions
Class	1860b	Isogeny class
Conductor	1860	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	691920 = 24 · 32 · 5 · 312	Discriminant
Eigenvalues	2- 3- 5-  2 -4  4  4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25,20]	[a1,a2,a3,a4,a6]
j	112377856/43245	j-invariant
L	2.6095558160079	L(r)(E,1)/r!
Ω	2.6095558160079	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	7440q1 29760c1 5580b1 9300a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1860b1

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

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Quadratic twists for elliptic curve 1860b1

-4	8	-3	5	-7	-31
7440q1	29760c1	5580b1	9300a1	91140g1	57660d1

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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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