Cremona's table of elliptic curves

119952 = 2⁴ · 3² · 7² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 17-	Signs for the Atkin-Lehner involutions
Class	119952gt	Isogeny class
Conductor	119952	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	9.5064071791464E+18	Discriminant
Eigenvalues	2- 3- -2 7- -4  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12235251,16472132530]	[a1,a2,a3,a4,a6]
Generators	[959:74970:1]	Generators of the group modulo torsion
j	576615941610337/27060804	j-invariant
L	5.7227219263939	L(r)(E,1)/r!
Ω	0.21679551515091	Real period
R	1.6498040398639	Regulator
r	1	Rank of the group of rational points
S	1.0000000102867	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14994bh3 39984df4 2448n3	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 119952gt4

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	-	-4	2	-	4	0	10	8	-2	10	-12	0	-6	-12	10	12	0	-10	8	-4	-6	14

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Quadratic twists for elliptic curve 119952gt4

-4	-3	-7
14994bh3	39984df4	2448n3

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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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