Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025s |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
-875875 = -1 · 53 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2 -2 5- 7+ 11- 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-98,-411] |
[a1,a2,a3,a4,a6] |
j |
-841232384/7007 |
j-invariant |
L |
3.0306686006314 |
L(r)(E,1)/r! |
Ω |
0.75766715015795 |
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 |
25025w1 |
Quadratic twists by: 5 |