Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bd |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2115796598784 = -1 · 217 · 37 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 11- 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-69983] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1232:1] |
Generators of the group modulo torsion |
j |
-2/16142247 |
j-invariant |
L |
5.6498744182458 |
L(r)(E,1)/r! |
Ω |
0.37829527271997 |
Real period |
R |
1.8668863975253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832l1 32208c1 |
Quadratic twists by: -4 8 |