Cremona's table of elliptic curves

3844 = 2² · 31²

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Class	3844a	Isogeny class
Conductor	3844	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-440201825776 = -1 · 24 · 317	Discriminant
Eigenvalues	2-  0  1  3 -6  4  0 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16337,804357]	[a1,a2,a3,a4,a6]
Generators	[-124:961:1]	Generators of the group modulo torsion
j	-33958656/31	j-invariant
L	3.8426928053247	L(r)(E,1)/r!
Ω	0.93464587279783	Real period
R	1.0278472620389	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15376t1 61504j1 34596k1 96100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3844a1

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	1	3	-6	4	0	-5	4	-2	-	2	-9	-2	4	-12	9	-12	-12	5	14	-10	-2	-6	-7

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Quadratic twists for elliptic curve 3844a1

-4	8	-3	5	-31
15376t1	61504j1	34596k1	96100b1	124b1

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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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