Atkin-Lehner |
3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
107085t |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
540000 |
Modular degree for the optimal curve |
Δ |
79371468928125 = 35 · 55 · 116 · 59 |
Discriminant |
Eigenvalues |
2 3- 5- 2 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33920,-2377369] |
[a1,a2,a3,a4,a6] |
j |
2436396322816/44803125 |
j-invariant |
L |
8.8045942443621 |
L(r)(E,1)/r! |
Ω |
0.35218380496644 |
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 |
885d1 |
Quadratic twists by: -11 |