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	1170k	Isogeny class
Conductor	1170	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	190922366661156000 = 25 · 324 · 53 · 132	Discriminant
Eigenvalues	2- 3- 5+  2  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-144023,-755953]	[a1,a2,a3,a4,a6]
j	453198971846635561/261896250564000	j-invariant
L	2.6788254462704	L(r)(E,1)/r!
Ω	0.26788254462704	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	9360bo2 37440cd2 390d2 5850j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170k2

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

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Quadratic twists for elliptic curve 1170k2

-4	8	-3	5	-7	13
9360bo2	37440cd2	390d2	5850j2	57330ev2	15210u2

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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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