Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bo |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-253970984960 = -1 · 212 · 5 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2581,56861] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
0.95371069822013 |
L(r)(E,1)/r! |
Ω |
0.95371070773674 |
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 |
4235b1 560c1 |
Quadratic twists by: -4 -11 |