Cremona's table of elliptic curves

1190 = 2 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	1190b	Isogeny class
Conductor	1190	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	1680	Modular degree for the optimal curve
Δ	-800013200000 = -1 · 27 · 55 · 76 · 17	Discriminant
Eigenvalues	2+  1 5- 7+ -2 -3 17-  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,522,-42744]	[a1,a2,a3,a4,a6]
Generators	[90:812:1]	Generators of the group modulo torsion
j	15773593568039/800013200000	j-invariant
L	2.2582474486677	L(r)(E,1)/r!
Ω	0.42823247145361	Real period
R	0.52734147903409	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	9520o1 38080e1 10710v1 5950o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190b1

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	-3	-	1	-2	-9	-11	-6	2	8	7	5	9	-1	-16	-13	-5	4	2	-3	1

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Quadratic twists for elliptic curve 1190b1

-4	8	-3	5	-7	17
9520o1	38080e1	10710v1	5950o1	8330b1	20230d1

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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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