Atkin-Lehner |
2+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68150c |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1264032 |
Modular degree for the optimal curve |
Δ |
2726000000 = 27 · 56 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7508717,-7917604059] |
[a1,a2,a3,a4,a6] |
j |
2996407859142189227553/174464 |
j-invariant |
L |
0.091202796479124 |
L(r)(E,1)/r! |
Ω |
0.091202788695622 |
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 |
2726e1 |
Quadratic twists by: 5 |