Atkin-Lehner |
13- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
86411g |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-602782176234251 = -1 · 13 · 1710 · 23 |
Discriminant |
Eigenvalues |
0 -1 -3 0 -1 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,20423,-372053] |
[a1,a2,a3,a4,a6] |
Generators |
[1850:32653:8] |
Generators of the group modulo torsion |
j |
39027212288/24972779 |
j-invariant |
L |
2.5454657338562 |
L(r)(E,1)/r! |
Ω |
0.29519655447498 |
Real period |
R |
4.3114760312404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999827495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083d1 |
Quadratic twists by: 17 |