Atkin-Lehner |
2- 5- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18020a |
Isogeny class |
Conductor |
18020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
1770645200 = 24 · 52 · 174 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- 4 4 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345,1300] |
[a1,a2,a3,a4,a6] |
j |
284655271936/110665325 |
j-invariant |
L |
2.71153115874 |
L(r)(E,1)/r! |
Ω |
1.35576557937 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080g1 90100c1 |
Quadratic twists by: -4 5 |