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	119025w	Isogeny class
Conductor	119025	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	248832	Modular degree for the optimal curve
Δ	-17323716796875 = -1 · 36 · 59 · 233	Discriminant
Eigenvalues	0 3- 5+  3  6 -4  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-3450,214906]	[a1,a2,a3,a4,a6]
Generators	[70:562:1]	Generators of the group modulo torsion
j	-32768/125	j-invariant
L	7.4342540911584	L(r)(E,1)/r!
Ω	0.60489636135428	Real period
R	0.76813303615768	Regulator
r	1	Rank of the group of rational points
S	1.0000000044972	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13225a1 23805l1 119025z1	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 119025w1

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
0	-	+	3	6	-4	3	6	-	-3	-5	-3	-9	12	-6	3	9	6	-9	-9	2	-6	9	6	6

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Quadratic twists for elliptic curve 119025w1

-3	5	-23
13225a1	23805l1	119025z1

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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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