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	1110h	Isogeny class
Conductor	1110	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	59114336463360 = 29 · 32 · 5 · 376	Discriminant
Eigenvalues	2+ 3- 5- -4  6  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-10488,-185402]	[a1,a2,a3,a4,a6]
j	127568139540190201/59114336463360	j-invariant
L	1.479713254841	L(r)(E,1)/r!
Ω	0.49323775161366	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	8880s4 35520e4 3330s4 5550x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110h4

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

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Quadratic twists for elliptic curve 1110h4

-4	8	-3	5	-7	37
8880s4	35520e4	3330s4	5550x4	54390i4	41070be4

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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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