Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600o |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4569760000000 = -1 · 211 · 57 · 134 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 5 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,105312] |
[a1,a2,a3,a4,a6] |
Generators |
[12:300:1] |
Generators of the group modulo torsion |
j |
-338/5 |
j-invariant |
L |
11.185768046531 |
L(r)(E,1)/r! |
Ω |
0.65451584565081 |
Real period |
R |
1.0681338083975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800w1 13520f1 67600q1 |
Quadratic twists by: -4 5 13 |