Atkin-Lehner |
3- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605m |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
1077153377025 = 3 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2725,22232] |
[a1,a2,a3,a4,a6] |
j |
1263214441/608025 |
j-invariant |
L |
1.5540588839513 |
L(r)(E,1)/r! |
Ω |
0.77702955879141 |
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 |
11055g1 |
Quadratic twists by: -11 |