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	3762i	Isogeny class
Conductor	3762	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	134083338078096 = 24 · 312 · 112 · 194	Discriminant
Eigenvalues	2+ 3-  2  0 11- -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-20871,-1012883]	[a1,a2,a3,a4,a6]
j	1379233073341297/183927761424	j-invariant
L	1.6028207685629	L(r)(E,1)/r!
Ω	0.40070519214072	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	30096w2 120384s2 1254g2 94050df2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762i2

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	-2	-	8	2	-8	6	6	-4	0	10	12	6	12	-8	-6	8	4	14	2

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Quadratic twists for elliptic curve 3762i2

-4	8	-3	5	-11	-19
30096w2	120384s2	1254g2	94050df2	41382by2	71478cq2

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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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