Atkin-Lehner |
5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925p |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
2435701953125 = 58 · 76 · 53 |
Discriminant |
Eigenvalues |
0 -2 5- 7- -1 6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16333,-805381] |
[a1,a2,a3,a4,a6] |
j |
10485760/53 |
j-invariant |
L |
1.6897520120319 |
L(r)(E,1)/r! |
Ω |
0.42243800172326 |
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 |
64925d1 1325f1 |
Quadratic twists by: 5 -7 |