Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592ct |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
227217408 = 212 · 3 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,39] |
[a1,a2,a3,a4,a6] |
Generators |
[23:96:1] |
Generators of the group modulo torsion |
j |
97336000/55473 |
j-invariant |
L |
6.9909872730354 |
L(r)(E,1)/r! |
Ω |
1.5162094077793 |
Real period |
R |
2.3054161374382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cf1 43296v1 |
Quadratic twists by: -4 8 |