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	1170l	Isogeny class
Conductor	1170	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-5629990017600 = -1 · 26 · 36 · 52 · 136	Discriminant
Eigenvalues	2- 3- 5+ -4  6 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1012,113231]	[a1,a2,a3,a4,a6]
j	157376536199/7722894400	j-invariant
L	2.3094437944021	L(r)(E,1)/r!
Ω	0.57736094860053	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	9360br4 37440cl4 130a4 5850l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170l4

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
-	-	+	-4	6	-	6	2	-6	6	2	2	6	2	12	-6	-6	2	-4	6	-10	-4	0	6	2

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Quadratic twists for elliptic curve 1170l4

-4	8	-3	5	-7	13
9360br4	37440cl4	130a4	5850l4	57330ez4	15210v4

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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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