Cremona's table of elliptic curves

65025 = 3² · 5² · 17²

Field	Data	Notes
Atkin-Lehner	3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	65025bo	Isogeny class
Conductor	65025	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2.2963430522302E+19	Discriminant
Eigenvalues	-1 3- 5+  4  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-44705,230595922]	[a1,a2,a3,a4,a6]
j	-35937/83521	j-invariant
L	1.3755588194342	L(r)(E,1)/r!
Ω	0.17194485327305	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7225b4 2601j4 3825i4	Quadratic twists by: -3 5 17

Hecke Eigenvalues for elliptic curve 65025bo3

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	0	2	+	-4	-4	6	-4	-2	-6	-4	0	6	12	10	-4	-4	-6	-12	-4	-10	2

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Quadratic twists for elliptic curve 65025bo3

-3	5	17
7225b4	2601j4	3825i4

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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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