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	3762d	Isogeny class
Conductor	3762	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	37986339798 = 2 · 314 · 11 · 192	Discriminant
Eigenvalues	2+ 3-  2  0 11+ -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-381231,90695839]	[a1,a2,a3,a4,a6]
j	8405459297332260337/52107462	j-invariant
L	1.5782771614982	L(r)(E,1)/r!
Ω	0.7891385807491	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30096bk6 120384bv6 1254h5 94050cp6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762d5

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

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Quadratic twists for elliptic curve 3762d5

-4	8	-3	5	-11	-19
30096bk6	120384bv6	1254h5	94050cp6	41382ci6	71478by6

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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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