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	4	Product of Tamagawa factors cp
Δ	-2451441456464022 = -1 · 2 · 38 · 11 · 198	Discriminant
Eigenvalues	2+ 3-  2  0 11+ -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-14931,2487235]	[a1,a2,a3,a4,a6]
j	-504985875929137/3362745482118	j-invariant
L	1.5782771614982	L(r)(E,1)/r!
Ω	0.39456929037455	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30096bk5 120384bv5 1254h6 94050cp5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762d6

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 3762d6

-4	8	-3	5	-11	-19
30096bk5	120384bv5	1254h6	94050cp5	41382ci5	71478by5

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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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