Cremona's table of elliptic curves

3444 = 2² · 3 · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 41-	Signs for the Atkin-Lehner involutions
Class	3444c	Isogeny class
Conductor	3444	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	766080	Modular degree for the optimal curve
Δ	-1.9875813915251E+25	Discriminant
Eigenvalues	2- 3+ -3 7+  2  1 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-43977092,-242078256696]	[a1,a2,a3,a4,a6]
Generators	[26842:4232758:1]	Generators of the group modulo torsion
j	-36742041300293123413614928/77639898106449639295461	j-invariant
L	2.380722209346	L(r)(E,1)/r!
Ω	0.027485806373028	Real period
R	4.1245915333895	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	13776bb1 55104bd1 10332e1 86100bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3444c1

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
-	+	-3	+	2	1	-4	-4	9	5	0	9	-	-4	-9	1	6	-8	-1	0	-2	-9	10	0	5

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Quadratic twists for elliptic curve 3444c1

-4	8	-3	5	-7
13776bb1	55104bd1	10332e1	86100bc1	24108j1

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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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