Atkin-Lehner |
5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025a |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
82327117919921875 = 516 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-576630,-167825878] |
[a1,a2,a3,a4,a6] |
j |
1357046347029907689/5268935546875 |
j-invariant |
L |
0.34658257430765 |
L(r)(E,1)/r! |
Ω |
0.17329128715392 |
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 |
5005a2 |
Quadratic twists by: 5 |