Atkin-Lehner |
5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
25205c |
Isogeny class |
Conductor |
25205 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1136890019798875 = -1 · 53 · 717 |
Discriminant |
Eigenvalues |
0 -2 5- 1 0 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,23525,846281] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:25201:8] |
Generators of the group modulo torsion |
j |
11239424/8875 |
j-invariant |
L |
2.402332723594 |
L(r)(E,1)/r! |
Ω |
0.31427104025193 |
Real period |
R |
0.63701190371328 |
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 |
126025a1 355a1 |
Quadratic twists by: 5 -71 |