Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ee |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[178:3645:8] |
Generators of the group modulo torsion |
j |
1068359936/14270175 |
j-invariant |
L |
6.5166418385909 |
L(r)(E,1)/r! |
Ω |
0.53377380533178 |
Real period |
R |
1.5260775663917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520t1 20880cl1 27840ef1 |
Quadratic twists by: -4 8 -3 |