Cremona's table of elliptic curves

1110 = 2 · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 37+	Signs for the Atkin-Lehner involutions
Class	1110f	Isogeny class
Conductor	1110	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2286529541015625000 = -1 · 23 · 34 · 520 · 37	Discriminant
Eigenvalues	2+ 3- 5+  4  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-75579,73184206]	[a1,a2,a3,a4,a6]
j	-47744008200656797609/2286529541015625000	j-invariant
L	1.7199504210584	L(r)(E,1)/r!
Ω	0.2149938026323	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8880l4 35520s3 3330x4 5550bc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110f4

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

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Quadratic twists for elliptic curve 1110f4

-4	8	-3	5	-7	37
8880l4	35520s3	3330x4	5550bc4	54390k3	41070bk3

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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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