Cremona's table of elliptic curves

119025 = 3² · 5² · 23²

Field	Data	Notes
Atkin-Lehner	3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	119025bk	Isogeny class
Conductor	119025	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3.5390539071973E+22	Discriminant
Eigenvalues	-1 3- 5+  4 -4  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-48921755,-131381056128]	[a1,a2,a3,a4,a6]
Generators	[-139894269432:-483772332735:35287552]	Generators of the group modulo torsion
j	7679186557489/20988075	j-invariant
L	4.0102702717865	L(r)(E,1)/r!
Ω	0.057094646757765	Real period
R	17.559746820185	Regulator
r	1	Rank of the group of rational points
S	1.0000000260255	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	39675h4 23805m4 5175e4	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 119025bk4

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
-1	-	+	4	-4	2	-6	-8	-	-6	8	6	6	-8	-8	-2	4	10	8	0	6	4	12	6	-14

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Quadratic twists for elliptic curve 119025bk4

-3	5	-23
39675h4	23805m4	5175e4

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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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