Atkin-Lehner |
5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
126025i |
Isogeny class |
Conductor |
126025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-1136890019798875 = -1 · 53 · 717 |
Discriminant |
Eigenvalues |
-2 0 5- -3 -2 -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25205,-2236944] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:25201:8] |
Generators of the group modulo torsion |
j |
-110592/71 |
j-invariant |
L |
1.6361860749678 |
L(r)(E,1)/r! |
Ω |
0.18412480119862 |
Real period |
R |
2.2215721381512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997666883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126025h1 1775c1 |
Quadratic twists by: 5 -71 |