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	1190a	Isogeny class
Conductor	1190	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-3731840000 = -1 · 210 · 54 · 73 · 17	Discriminant
Eigenvalues	2+  0 5+ 7-  2  0 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-145,-2979]	[a1,a2,a3,a4,a6]
Generators	[43:241:1]	Generators of the group modulo torsion
j	-338463151209/3731840000	j-invariant
L	1.8951839813102	L(r)(E,1)/r!
Ω	0.59511882605062	Real period
R	1.0615157278125	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9520g1 38080x1 10710bl1 5950k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190a1

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

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Quadratic twists for elliptic curve 1190a1

-4	8	-3	5	-7	17
9520g1	38080x1	10710bl1	5950k1	8330j1	20230g1

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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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