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	3800a	Isogeny class
Conductor	3800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-2968750000 = -1 · 24 · 510 · 19	Discriminant
Eigenvalues	2+  0 5+  0 -4  6  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-50,2625]	[a1,a2,a3,a4,a6]
Generators	[5:50:1]	Generators of the group modulo torsion
j	-55296/11875	j-invariant
L	3.4536101386665	L(r)(E,1)/r!
Ω	1.1633348993778	Real period
R	1.4843576602548	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	7600c1 30400i1 34200ch1 760e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800a1

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

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Quadratic twists for elliptic curve 3800a1

-4	8	-3	5	-19
7600c1	30400i1	34200ch1	760e1	72200bb1

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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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