Atkin-Lehner |
3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22425j |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-215842376953125 = -1 · 37 · 59 · 133 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10075,802750] |
[a1,a2,a3,a4,a6] |
Generators |
[174:2000:1] |
Generators of the group modulo torsion |
j |
-57915683909/110511297 |
j-invariant |
L |
5.3998087279504 |
L(r)(E,1)/r! |
Ω |
0.50038932516074 |
Real period |
R |
5.3956074364854 |
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 |
67275ba1 22425u1 |
Quadratic twists by: -3 5 |