Atkin-Lehner |
2+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550j |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-2737600000000 = -1 · 212 · 58 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1776,-84802] |
[a1,a2,a3,a4,a6] |
Generators |
[6182:482971:1] |
Generators of the group modulo torsion |
j |
-39616946929/175206400 |
j-invariant |
L |
4.2215822569306 |
L(r)(E,1)/r! |
Ω |
0.33397691354674 |
Real period |
R |
6.3201707656521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17110d1 |
Quadratic twists by: 5 |