Atkin-Lehner |
2+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850m |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
169625000000 = 26 · 59 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3201,66548] |
[a1,a2,a3,a4,a6] |
j |
1856331989/86848 |
j-invariant |
L |
1.0064639122531 |
L(r)(E,1)/r! |
Ω |
1.006463915579 |
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 |
67850bc1 |
Quadratic twists by: 5 |