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	3762l	Isogeny class
Conductor	3762	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-995526774 = -1 · 2 · 39 · 113 · 19	Discriminant
Eigenvalues	2- 3+  3 -4 11+ -4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1676,-26027]	[a1,a2,a3,a4,a6]
Generators	[47710:6101:1000]	Generators of the group modulo torsion
j	-26436959739/50578	j-invariant
L	5.3879236970179	L(r)(E,1)/r!
Ω	0.37305383544334	Real period
R	7.221375556446	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30096p2 120384g2 3762b1 94050c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762l2

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
-	+	3	-4	+	-4	-3	-	-6	-9	8	-7	-6	-1	6	0	-6	-1	-7	12	-10	8	-6	15	2

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Quadratic twists for elliptic curve 3762l2

-4	8	-3	5	-11	-19
30096p2	120384g2	3762b1	94050c2	41382c2	71478d2

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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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