Atkin-Lehner |
2- 3+ 7+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
86814y |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1414895777672832 = 27 · 39 · 7 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-123986,16736977] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:5807:1] |
Generators of the group modulo torsion |
j |
10708954743820059/71884152704 |
j-invariant |
L |
8.6064811215509 |
L(r)(E,1)/r! |
Ω |
0.48232223436173 |
Real period |
R |
1.2745600513643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814a2 |
Quadratic twists by: -3 |