Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59774r |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-122748427633139594 = -1 · 2 · 118 · 133 · 194 |
Discriminant |
Eigenvalues |
2- -1 -1 3 11- 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168616,-31603725] |
[a1,a2,a3,a4,a6] |
j |
-299270638153369/69288287354 |
j-invariant |
L |
1.3964396534342 |
L(r)(E,1)/r! |
Ω |
0.1163699715165 |
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 |
5434g1 |
Quadratic twists by: -11 |