Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025r |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-615067578125 = -1 · 58 · 7 · 113 · 132 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ 11- 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555,-37928] |
[a1,a2,a3,a4,a6] |
j |
-48317985/1574573 |
j-invariant |
L |
2.3887741577765 |
L(r)(E,1)/r! |
Ω |
0.39812902629606 |
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 |
25025j1 |
Quadratic twists by: 5 |