Cremona's table of elliptic curves

1870 = 2 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 17-	Signs for the Atkin-Lehner involutions
Class	1870i	Isogeny class
Conductor	1870	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-3291200000 = -1 · 29 · 55 · 112 · 17	Discriminant
Eigenvalues	2- -3 5- -4 11- -1 17-  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-87,2799]	[a1,a2,a3,a4,a6]
Generators	[-3:56:1]	Generators of the group modulo torsion
j	-72043225281/3291200000	j-invariant
L	2.6957460696326	L(r)(E,1)/r!
Ω	1.1736352793483	Real period
R	0.025521330718399	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	14960o1 59840d1 16830r1 9350g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1870i1

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	-	-4	-	-1	-	7	-4	-1	-9	4	-8	2	-7	-1	-7	5	-16	15	-17	-16	6	-1	7

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Quadratic twists for elliptic curve 1870i1

-4	8	-3	5	-7	-11	17
14960o1	59840d1	16830r1	9350g1	91630bq1	20570e1	31790p1

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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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