Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450q |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5909760 |
Modular degree for the optimal curve |
Δ |
4.8605121092096E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29337242,-60227195084] |
[a1,a2,a3,a4,a6] |
j |
557238592989/9699328 |
j-invariant |
L |
1.0390186923397 |
L(r)(E,1)/r! |
Ω |
0.064938667998759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68450bi1 1850o1 |
Quadratic twists by: 5 37 |