Atkin-Lehner |
5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
325d |
Isogeny class |
Conductor |
325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
8125 = 54 · 13 |
Discriminant |
Eigenvalues |
2 1 5- 2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-508,-4581] |
[a1,a2,a3,a4,a6] |
j |
23242854400/13 |
j-invariant |
L |
3.0163634988532 |
L(r)(E,1)/r! |
Ω |
1.0054544996177 |
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 |
5200bf1 20800bx1 2925r1 325e2 |
Quadratic twists by: -4 8 -3 5 |