Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800b |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
8830503125000000 = 26 · 511 · 414 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90158,9417812] |
[a1,a2,a3,a4,a6] |
Generators |
[12831672:466973450:9261] |
Generators of the group modulo torsion |
j |
81047819728576/8830503125 |
j-invariant |
L |
9.0993411003312 |
L(r)(E,1)/r! |
Ω |
0.39908155987434 |
Real period |
R |
11.400352728896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32800l1 65600j2 6560i1 |
Quadratic twists by: -4 8 5 |