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	3770a	Isogeny class
Conductor	3770	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	158568217539062500 = 22 · 510 · 136 · 292	Discriminant
Eigenvalues	2+  0 5+  0  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-160975,15880761]	[a1,a2,a3,a4,a6]
j	461318138587542093129/158568217539062500	j-invariant
L	1.1905862138262	L(r)(E,1)/r!
Ω	0.29764655345656	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	30160t2 120640bh2 33930bd2 18850x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3770a2

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

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Quadratic twists for elliptic curve 3770a2

-4	8	-3	5	13	29
30160t2	120640bh2	33930bd2	18850x2	49010r2	109330p2

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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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