Atkin-Lehner |
2- 3+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682ba |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
17722777273344 = 210 · 39 · 112 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6671,-52649] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:308:1] |
Generators of the group modulo torsion |
j |
1667800912779/900410368 |
j-invariant |
L |
11.111026724862 |
L(r)(E,1)/r! |
Ω |
0.56274964235209 |
Real period |
R |
0.98720868388291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682i1 |
Quadratic twists by: -3 |