Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064z |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-171679942512 = -1 · 24 · 32 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,19917] |
[a1,a2,a3,a4,a6] |
j |
-256/2223 |
j-invariant |
L |
6.5134334417869 |
L(r)(E,1)/r! |
Ω |
0.81417917522657 |
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 |
5928i1 |
Quadratic twists by: 13 |