Cremona's table of elliptic curves

3844 = 2² · 31²

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Class	3844b	Isogeny class
Conductor	3844	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	11904	Modular degree for the optimal curve
Δ	-423033954570736 = -1 · 24 · 319	Discriminant
Eigenvalues	2-  2  1 -1 -4  2  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9930,1063649]	[a1,a2,a3,a4,a6]
Generators	[2892:29791:27]	Generators of the group modulo torsion
j	-256	j-invariant
L	4.8622688970189	L(r)(E,1)/r!
Ω	0.46318122501704	Real period
R	1.749591964729	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	15376x1 61504w1 34596i1 96100e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3844b1

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	1	-1	-4	2	2	-5	-6	-6	-	-8	-5	10	-8	-4	9	14	8	9	-4	10	4	-14	-7

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Quadratic twists for elliptic curve 3844b1

-4	8	-3	5	-31
15376x1	61504w1	34596i1	96100e1	3844d1

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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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