Cremona's table of elliptic curves

3844 = 2² · 31²

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Class	3844c	Isogeny class
Conductor	3844	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-423033954570736 = -1 · 24 · 319	Discriminant
Eigenvalues	2-  2 -3 -1  6 -2 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,16978,498581]	[a1,a2,a3,a4,a6]
Generators	[64057:1092657:343]	Generators of the group modulo torsion
j	38112512/29791	j-invariant
L	4.145211915226	L(r)(E,1)/r!
Ω	0.34084178994694	Real period
R	6.0808445992954	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	15376y2 61504bb2 34596o2 96100f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3844c2

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	-3	-1	6	-2	-6	-1	6	0	-	10	-9	-8	0	0	-3	10	-4	-15	-14	-8	-6	-12	-7

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Quadratic twists for elliptic curve 3844c2

-4	8	-3	5	-31
15376y2	61504bb2	34596o2	96100f2	124a2

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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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