Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258bb |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1803660211381248 = 210 · 32 · 119 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-274612,55328912] |
[a1,a2,a3,a4,a6] |
j |
1292784788612953/1018119168 |
j-invariant |
L |
9.3300301287547 |
L(r)(E,1)/r! |
Ω |
0.46650150614371 |
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 |
5478d1 |
Quadratic twists by: -11 |