Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bu |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-12297656250 = -1 · 2 · 33 · 58 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,362,4781] |
[a1,a2,a3,a4,a6] |
Generators |
[230:1481:8] |
Generators of the group modulo torsion |
j |
13428095/31482 |
j-invariant |
L |
8.0814178020079 |
L(r)(E,1)/r! |
Ω |
0.88245125248353 |
Real period |
R |
3.0526399374739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450v1 |
Quadratic twists by: 5 |