Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832q |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
36150368449536 = 210 · 314 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12757,-477445] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:180:1] |
Generators of the group modulo torsion |
j |
224235033198592/35303094189 |
j-invariant |
L |
11.878178692073 |
L(r)(E,1)/r! |
Ω |
0.45398939703479 |
Real period |
R |
1.8688571736377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999262664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832bh1 8052a1 |
Quadratic twists by: -4 8 |