Atkin-Lehner |
2- 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158cd |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
8079035675256 = 23 · 36 · 7 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9986,-356407] |
[a1,a2,a3,a4,a6] |
j |
151053257765593/11082353464 |
j-invariant |
L |
8.6364426385765 |
L(r)(E,1)/r! |
Ω |
0.47980237016587 |
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 |
7462g1 |
Quadratic twists by: -3 |