Cremona's table of elliptic curves

1170 = 2 · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1170c	Isogeny class
Conductor	1170	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-52052422500 = -1 · 22 · 36 · 54 · 134	Discriminant
Eigenvalues	2+ 3- 5+  0  0 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-600,12500]	[a1,a2,a3,a4,a6]
Generators	[-2:118:1]	Generators of the group modulo torsion
j	-32798729601/71402500	j-invariant
L	1.8839121760913	L(r)(E,1)/r!
Ω	0.99771387107647	Real period
R	0.23602861385232	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	9360bl4 37440by3 130b4 5850bj4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170c4

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	0	-	-2	-8	4	2	-4	6	-10	0	-8	-6	-8	-2	4	12	10	-8	-12	-10	-14

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Quadratic twists for elliptic curve 1170c4

-4	8	-3	5	-7	13
9360bl4	37440by3	130b4	5850bj4	57330cd3	15210bm4

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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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