Atkin-Lehner |
2- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68432u |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
1392980094032543744 = 226 · 7 · 134 · 473 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-357624,-59475856] |
[a1,a2,a3,a4,a6] |
j |
1234937412568202617/340083030769664 |
j-invariant |
L |
0.79710322438672 |
L(r)(E,1)/r! |
Ω |
0.19927580680525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8554d1 |
Quadratic twists by: -4 |