Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714m |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1224720 |
Modular degree for the optimal curve |
Δ |
19382520547959296 = 29 · 710 · 133 · 61 |
Discriminant |
Eigenvalues |
2- -2 -1 7- -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938841,-350149703] |
[a1,a2,a3,a4,a6] |
j |
323980956279841/68616704 |
j-invariant |
L |
1.3803829033012 |
L(r)(E,1)/r! |
Ω |
0.15337587733802 |
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 |
77714i1 |
Quadratic twists by: -7 |