Atkin-Lehner |
2+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878r |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-82055347302656 = -1 · 28 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -1 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11198,-631760] |
[a1,a2,a3,a4,a6] |
j |
-3847751263/2033408 |
j-invariant |
L |
1.8115156479343 |
L(r)(E,1)/r! |
Ω |
0.22643945599107 |
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 |
59878b1 |
Quadratic twists by: -7 |