Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984bn |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4267904256 = 28 · 39 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,15444] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
304128/7 |
j-invariant |
L |
4.1930050107436 |
L(r)(E,1)/r! |
Ω |
1.3818452137143 |
Real period |
R |
0.75858804027348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968t1 60984e1 60984j1 |
Quadratic twists by: -4 -3 -11 |