Cremona's table of elliptic curves

3770 = 2 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5- 13+ 29-	Signs for the Atkin-Lehner involutions
Class	3770b	Isogeny class
Conductor	3770	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	4901000000 = 26 · 56 · 132 · 29	Discriminant
Eigenvalues	2+ -2 5-  0  2 13+ -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9933,380168]	[a1,a2,a3,a4,a6]
Generators	[59:-10:1]	Generators of the group modulo torsion
j	108368276433499081/4901000000	j-invariant
L	1.9812338830223	L(r)(E,1)/r!
Ω	1.2871821223066	Real period
R	0.25653374254348	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30160ba2 120640n2 33930x2 18850y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3770b2

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

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Quadratic twists for elliptic curve 3770b2

-4	8	-3	5	13	29
30160ba2	120640n2	33930x2	18850y2	49010o2	109330u2

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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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