Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bx |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
125199360 |
Modular degree for the optimal curve |
Δ |
3.9128380202032E+30 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5380652723,-118407527634157] |
[a1,a2,a3,a4,a6] |
j |
3854473486073796961/875443922141184 |
j-invariant |
L |
0.9315656671253 |
L(r)(E,1)/r! |
Ω |
0.017914724791893 |
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 |
23826t1 71478k1 |
Quadratic twists by: -3 -19 |