Cremona's table of elliptic curves

3752 = 2³ · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 7- 67+	Signs for the Atkin-Lehner involutions
Class	3752l	Isogeny class
Conductor	3752	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	3584	Modular degree for the optimal curve
Δ	14125409536 = 28 · 77 · 67	Discriminant
Eigenvalues	2-  1 -1 7-  0  5 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13196,579056]	[a1,a2,a3,a4,a6]
Generators	[110:686:1]	Generators of the group modulo torsion
j	992758417495504/55177381	j-invariant
L	3.9779534080104	L(r)(E,1)/r!
Ω	1.1843083302369	Real period
R	0.11996011591287	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	7504g1 30016y1 33768f1 93800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3752l1

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
-	1	-1	-	0	5	-6	-4	1	5	3	-3	-3	-6	2	-6	0	-14	+	1	-6	-4	6	12	-6

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Quadratic twists for elliptic curve 3752l1

-4	8	-3	5	-7
7504g1	30016y1	33768f1	93800b1	26264s1

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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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