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	3762f	Isogeny class
Conductor	3762	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-63686898 = -1 · 2 · 36 · 112 · 192	Discriminant
Eigenvalues	2+ 3- -2  2 11+ -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,57,-361]	[a1,a2,a3,a4,a6]
Generators	[13:43:1]	Generators of the group modulo torsion
j	27818127/87362	j-invariant
L	2.413042759109	L(r)(E,1)/r!
Ω	1.0046027263444	Real period
R	0.60049676748581	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	30096bg2 120384bj2 418a2 94050cz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762f2

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	-	8	6	6	8	-6	-8	8	-12	0	-8	-8	6	-14	-12	12	-2	-2

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Quadratic twists for elliptic curve 3762f2

-4	8	-3	5	-11	-19
30096bg2	120384bj2	418a2	94050cz2	41382cb2	71478ca2

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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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