Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672y |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1190141356096 = 26 · 74 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4129,-87600] |
[a1,a2,a3,a4,a6] |
Generators |
[5127:367080:1] |
Generators of the group modulo torsion |
j |
121640553254592/18595958689 |
j-invariant |
L |
6.2282000722048 |
L(r)(E,1)/r! |
Ω |
0.60169373240436 |
Real period |
R |
5.1755567131815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56672w1 113344ee2 |
Quadratic twists by: -4 8 |