Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85668f |
Isogeny class |
Conductor |
85668 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1469952 |
Modular degree for the optimal curve |
Δ |
-2570329888159359744 = -1 · 28 · 38 · 1110 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,273299,-53998177] |
[a1,a2,a3,a4,a6] |
j |
339992576/387099 |
j-invariant |
L |
4.425018343802 |
L(r)(E,1)/r! |
Ω |
0.13828182578399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85668g1 |
Quadratic twists by: -11 |