Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520t |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-10652628556800 = -1 · 210 · 315 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1932,-153592] |
[a1,a2,a3,a4,a6] |
j |
1068359936/14270175 |
j-invariant |
L |
1.4137070569214 |
L(r)(E,1)/r! |
Ω |
0.3534267852274 |
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 |
83520ee1 5220p1 27840ba1 |
Quadratic twists by: -4 8 -3 |