Atkin-Lehner |
2+ 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68080c |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-217856000 = -1 · 211 · 53 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -5 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-716] |
[a1,a2,a3,a4,a6] |
j |
-235298/106375 |
j-invariant |
L |
1.5919688716221 |
L(r)(E,1)/r! |
Ω |
0.79598443975095 |
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 |
34040f1 |
Quadratic twists by: -4 |