Atkin-Lehner |
2- 3+ 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158bh |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
108357552576 = 26 · 33 · 76 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8426,299369] |
[a1,a2,a3,a4,a6] |
j |
2450055885253731/4013242688 |
j-invariant |
L |
8.4524270619835 |
L(r)(E,1)/r! |
Ω |
1.056553384239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67158i2 |
Quadratic twists by: -3 |