Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120db |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-592659434188800 = -1 · 212 · 33 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63888,6324912] |
[a1,a2,a3,a4,a6] |
Generators |
[121:605:1] |
Generators of the group modulo torsion |
j |
-1216512/25 |
j-invariant |
L |
5.5041251283822 |
L(r)(E,1)/r! |
Ω |
0.51590545032487 |
Real period |
R |
0.88907200725981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5445a1 87120do1 87120cz1 |
Quadratic twists by: -4 -3 -11 |