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	24	Product of Tamagawa factors cp
Δ	27200448800 = 25 · 52 · 76 · 172	Discriminant
Eigenvalues	2+  0 5+ 7-  2  0 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4145,-101379]	[a1,a2,a3,a4,a6]
Generators	[-37:36:1]	Generators of the group modulo torsion
j	7876916680687209/27200448800	j-invariant
L	1.8951839813102	L(r)(E,1)/r!
Ω	0.59511882605062	Real period
R	0.53075786390626	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	9520g2 38080x2 10710bl2 5950k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190a2

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 1190a2

-4	8	-3	5	-7	17
9520g2	38080x2	10710bl2	5950k2	8330j2	20230g2

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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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