Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67938n |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
10513152 |
Modular degree for the optimal curve |
Δ |
1.7345792616926E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16724159,-17079472987] |
[a1,a2,a3,a4,a6] |
j |
634175936294665297/212641159274496 |
j-invariant |
L |
5.9804845345522 |
L(r)(E,1)/r! |
Ω |
0.07667287873841 |
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 |
67938e1 |
Quadratic twists by: 13 |