Cremona's table of elliptic curves

25350 = 2 · 3 · 5² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	25350cy	Isogeny class
Conductor	25350	Conductor
∏ cp	224	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	-11088090000000 = -1 · 27 · 38 · 57 · 132	Discriminant
Eigenvalues	2- 3- 5+ -3 -1 13+  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3338,176292]	[a1,a2,a3,a4,a6]
Generators	[82:-716:1]	Generators of the group modulo torsion
j	-1557701041/4199040	j-invariant
L	9.0810824906485	L(r)(E,1)/r!
Ω	0.6341121450242	Real period
R	0.063932771436991	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	76050bp1 5070b1 25350bd1	Quadratic twists by: -3 5 13

Hecke Eigenvalues for elliptic curve 25350cy1

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	-1	+	0	5	4	0	-10	-1	-6	2	-9	13	-4	-2	-12	2	-16	-10	12	-1	12

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Quadratic twists for elliptic curve 25350cy1

-3	5	13
76050bp1	5070b1	25350bd1

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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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