Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064bm |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-4932928 = -1 · 26 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-110] |
[a1,a2,a3,a4,a6] |
j |
-1000000/77077 |
j-invariant |
L |
1.0725481201406 |
L(r)(E,1)/r! |
Ω |
1.0725481269119 |
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 |
64064w1 32032g2 |
Quadratic twists by: -4 8 |