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	3762b	Isogeny class
Conductor	3762	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-11880501336 = -1 · 23 · 39 · 11 · 193	Discriminant
Eigenvalues	2+ 3+ -3 -4 11- -4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,309,4733]	[a1,a2,a3,a4,a6]
Generators	[37:238:1]	Generators of the group modulo torsion
j	165469149/603592	j-invariant
L	1.8053981956005	L(r)(E,1)/r!
Ω	0.90278994943325	Real period
R	0.33329978856726	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	30096l2 120384b2 3762l1 94050cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3762b2

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 3762b2

-4	8	-3	5	-11	-19
30096l2	120384b2	3762l1	94050cm2	41382bl2	71478bo2

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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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