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	16	Product of Tamagawa factors cp
Δ	11552000 = 28 · 53 · 192	Discriminant
Eigenvalues	2-  2 5- -2  4  0 -8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9628,366852]	[a1,a2,a3,a4,a6]
Generators	[48:114:1]	Generators of the group modulo torsion
j	3084800518928/361	j-invariant
L	4.6674416021643	L(r)(E,1)/r!
Ω	1.7541715342582	Real period
R	0.66519173168233	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	7600i2 30400y2 34200bj2 3800b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800i2

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 3800i2

-4	8	-3	5	-19
7600i2	30400y2	34200bj2	3800b2	72200t2

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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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