Cremona's table of elliptic curves

114444 = 2² · 3² · 11 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 17-	Signs for the Atkin-Lehner involutions
Class	114444s	Isogeny class
Conductor	114444	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	1527552	Modular degree for the optimal curve
Δ	-3573805207761285552 = -1 · 24 · 37 · 114 · 178	Discriminant
Eigenvalues	2- 3-  2 -3 11-  1 17-  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,58956,-90787327]	[a1,a2,a3,a4,a6]
Generators	[4624:314721:1]	Generators of the group modulo torsion
j	278528/43923	j-invariant
L	8.267551041476	L(r)(E,1)/r!
Ω	0.11795146338312	Real period
R	0.48675571713893	Regulator
r	1	Rank of the group of rational points
S	0.99999999568921	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	38148c1 114444f1	Quadratic twists by: -3 17

Hecke Eigenvalues for elliptic curve 114444s1

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	-	5	6	8	7	-1	0	-5	4	-12	0	-1	1	-10	2	-8	6	2	-19

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Quadratic twists for elliptic curve 114444s1

-3	17
38148c1	114444f1

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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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