Atkin-Lehner |
5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9025d |
Isogeny class |
Conductor |
9025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
705078125 = 59 · 192 |
Discriminant |
Eigenvalues |
0 -2 5+ 4 3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2533,-49906] |
[a1,a2,a3,a4,a6] |
j |
318767104/125 |
j-invariant |
L |
1.345912066229 |
L(r)(E,1)/r! |
Ω |
0.6729560331145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225y1 1805b1 9025b1 |
Quadratic twists by: -3 5 -19 |