Atkin-Lehner |
2+ 3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570o |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-120605089320000000 = -1 · 29 · 38 · 57 · 193 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-556380,-160469424] |
[a1,a2,a3,a4,a6] |
Generators |
[40635:8169471:1] |
Generators of the group modulo torsion |
j |
-26128299968421266881/165439080000000 |
j-invariant |
L |
3.9638154921678 |
L(r)(E,1)/r! |
Ω |
0.087369994899939 |
Real period |
R |
7.5613592334148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38190bk1 |
Quadratic twists by: -3 |