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	1170n	Isogeny class
Conductor	1170	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	7392060000 = 25 · 37 · 54 · 132	Discriminant
Eigenvalues	2- 3- 5-  4  0 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-778757,-264320611]	[a1,a2,a3,a4,a6]
j	71647584155243142409/10140000	j-invariant
L	3.2142459329827	L(r)(E,1)/r!
Ω	0.16071229664913	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9360bz4 37440bv4 390g4 5850r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170n3

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	0	+	2	4	-8	-2	-8	2	6	12	0	-10	0	-10	-4	16	-6	-8	4	14	-6

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Quadratic twists for elliptic curve 1170n3

-4	8	-3	5	-7	13
9360bz4	37440bv4	390g4	5850r3	57330eg4	15210o3

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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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