Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300m |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-80426379908000000 = -1 · 28 · 56 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108908,-19466812] |
[a1,a2,a3,a4,a6] |
Generators |
[74316:3869650:27] |
Generators of the group modulo torsion |
j |
-728871512656/410338673 |
j-invariant |
L |
5.8820852383283 |
L(r)(E,1)/r! |
Ω |
0.12806240036443 |
Real period |
R |
7.6552332049647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3332e1 83300e1 |
Quadratic twists by: 5 -7 |