Atkin-Lehner |
2- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880k |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-19099136000 = -1 · 212 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70981,7255219] |
[a1,a2,a3,a4,a6] |
j |
-9655977011728384/4662875 |
j-invariant |
L |
1.9971719033865 |
L(r)(E,1)/r! |
Ω |
0.99858595169146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2555d1 |
Quadratic twists by: -4 |