Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bi |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-7581516513193728 = -1 · 28 · 311 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48280,924459] |
[a1,a2,a3,a4,a6] |
j |
145116956375/88397568 |
j-invariant |
L |
4.1071832477046 |
L(r)(E,1)/r! |
Ω |
0.25669895298155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526f1 3654r1 |
Quadratic twists by: -3 -7 |