Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080bd |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-1357725931520 = -1 · 211 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 0 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-56468] |
[a1,a2,a3,a4,a6] |
j |
-4802/115 |
j-invariant |
L |
1.1116729154536 |
L(r)(E,1)/r! |
Ω |
0.37055763843362 |
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 |
90160u1 45080v1 |
Quadratic twists by: -4 -7 |