Atkin-Lehner |
2- 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960dk |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-196344000000000 = -1 · 212 · 35 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10999,510999] |
[a1,a2,a3,a4,a6] |
j |
35923933583936/47935546875 |
j-invariant |
L |
3.8113102625907 |
L(r)(E,1)/r! |
Ω |
0.38113103126269 |
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 |
96960ch1 48480k1 |
Quadratic twists by: -4 8 |