Cremona's table of elliptic curves

3800 = 2³ · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	3800d	Isogeny class
Conductor	3800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-28991699218750000 = -1 · 24 · 520 · 19	Discriminant
Eigenvalues	2-  2 5+ -4  4  4  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-650883,-202065988]	[a1,a2,a3,a4,a6]
j	-121981271658244096/115966796875	j-invariant
L	2.689174544537	L(r)(E,1)/r!
Ω	0.084036704516781	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7600f1 30400q1 34200y1 760b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800d1

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

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Quadratic twists for elliptic curve 3800d1

-4	8	-3	5	-19
7600f1	30400q1	34200y1	760b1	72200m1

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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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