Atkin-Lehner |
5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93025k |
Isogeny class |
Conductor |
93025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2083200 |
Modular degree for the optimal curve |
Δ |
6138169601603515625 = 59 · 617 |
Discriminant |
Eigenvalues |
-1 2 5- -4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-746138,217245406] |
[a1,a2,a3,a4,a6] |
Generators |
[194:8838:1] [311:3768:1] |
Generators of the group modulo torsion |
j |
456533/61 |
j-invariant |
L |
9.0834589276955 |
L(r)(E,1)/r! |
Ω |
0.22981605993179 |
Real period |
R |
39.524909311619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93025j1 1525b1 |
Quadratic twists by: 5 61 |