Atkin-Lehner |
2- 3- 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814be |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
312480 |
Modular degree for the optimal curve |
Δ |
-175387600671192 = -1 · 23 · 36 · 77 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13855,-112759] |
[a1,a2,a3,a4,a6] |
j |
403501506392375/240586557848 |
j-invariant |
L |
1.9998604580342 |
L(r)(E,1)/r! |
Ω |
0.33331008302013 |
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 |
9646a1 |
Quadratic twists by: -3 |