Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632o |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
416006864 = 24 · 76 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3626,-84035] |
[a1,a2,a3,a4,a6] |
Generators |
[406:8085:1] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
4.6709389956991 |
L(r)(E,1)/r! |
Ω |
0.61524013795355 |
Real period |
R |
3.7960291521679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768e1 |
Quadratic twists by: -7 |