Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520bb |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-228322800000000 = -1 · 210 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439788,112259288] |
[a1,a2,a3,a4,a6] |
j |
-12601619217266944/305859375 |
j-invariant |
L |
2.0694207002618 |
L(r)(E,1)/r! |
Ω |
0.51735519021422 |
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 |
83520eq1 10440bc1 27840bf1 |
Quadratic twists by: -4 8 -3 |