Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178f |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4579090071552 = -1 · 215 · 38 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 3 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23256,-1363136] |
[a1,a2,a3,a4,a6] |
Generators |
[285:3743:1] |
Generators of the group modulo torsion |
j |
-1908146629143937/6281330688 |
j-invariant |
L |
3.43927411724 |
L(r)(E,1)/r! |
Ω |
0.19326327255079 |
Real period |
R |
4.4489494458087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6726g1 |
Quadratic twists by: -3 |