Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760i |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-104122726400 = -1 · 211 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,664,13840] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-140:1] |
Generators of the group modulo torsion |
j |
130454302/420175 |
j-invariant |
L |
4.5544817753823 |
L(r)(E,1)/r! |
Ω |
0.74949354545331 |
Real period |
R |
0.1519186457058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33880a1 67760e1 |
Quadratic twists by: -4 -11 |