Cremona's table of elliptic curves

3762 = 2 · 3² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 19+	Signs for the Atkin-Lehner involutions
Class	3762n	Isogeny class
Conductor	3762	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-20634554952 = -1 · 23 · 310 · 112 · 192	Discriminant
Eigenvalues	2- 3-  2 -2 11+ -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,31,-6919]	[a1,a2,a3,a4,a6]
Generators	[33:154:1]	Generators of the group modulo torsion
j	4657463/28305288	j-invariant
L	5.3650469455009	L(r)(E,1)/r!
Ω	0.56138977053895	Real period
R	0.79639364470284	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	30096bl2 120384bw2 1254e2 94050k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762n2

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

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Quadratic twists for elliptic curve 3762n2

-4	8	-3	5	-11	-19
30096bl2	120384bw2	1254e2	94050k2	41382bg2	71478o2

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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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