Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389i |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-15961929814467 = -1 · 314 · 72 · 133 · 31 |
Discriminant |
Eigenvalues |
2 3- 2 7+ 5 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-72939,-7584507] |
[a1,a2,a3,a4,a6] |
j |
-58867500778688512/21895651323 |
j-invariant |
L |
6.9720606337277 |
L(r)(E,1)/r! |
Ω |
0.14525126320266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8463j1 |
Quadratic twists by: -3 |