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	3800b	Isogeny class
Conductor	3800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	8960	Modular degree for the optimal curve
Δ	4072531250000 = 24 · 59 · 194	Discriminant
Eigenvalues	2+ -2 5-  2  4  0  8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-15083,701338]	[a1,a2,a3,a4,a6]
j	12144109568/130321	j-invariant
L	1.5689787179186	L(r)(E,1)/r!
Ω	0.7844893589593	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7600h1 30400w1 34200cv1 3800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800b1

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	-	2	4	0	8	+	6	2	-8	0	-6	10	-6	0	-4	6	2	16	-16	8	10	-10	4

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Quadratic twists for elliptic curve 3800b1

-4	8	-3	5	-19
7600h1	30400w1	34200cv1	3800i1	72200bf1

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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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