Atkin-Lehner |
5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67915o |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1054080 |
Modular degree for the optimal curve |
Δ |
-133133100146496875 = -1 · 55 · 177 · 473 |
Discriminant |
Eigenvalues |
-2 1 5- -4 4 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24950,-17628746] |
[a1,a2,a3,a4,a6] |
j |
-71163817984/5515596875 |
j-invariant |
L |
1.4493837138701 |
L(r)(E,1)/r! |
Ω |
0.14493837232422 |
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 |
3995b1 |
Quadratic twists by: 17 |