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	3800i	Isogeny class
Conductor	3800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1792	Modular degree for the optimal curve
Δ	260642000 = 24 · 53 · 194	Discriminant
Eigenvalues	2-  2 5- -2  4  0 -8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-603,5852]	[a1,a2,a3,a4,a6]
Generators	[17:15:1]	Generators of the group modulo torsion
j	12144109568/130321	j-invariant
L	4.6674416021643	L(r)(E,1)/r!
Ω	1.7541715342582	Real period
R	1.3303834633647	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7600i1 30400y1 34200bj1 3800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800i1

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 3800i1

-4	8	-3	5	-19
7600i1	30400y1	34200bj1	3800b1	72200t1

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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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