Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67280s |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
876960 |
Modular degree for the optimal curve |
Δ |
-512252326872064000 = -1 · 213 · 53 · 298 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -5 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170723,-43851422] |
[a1,a2,a3,a4,a6] |
Generators |
[841:20184:1] |
Generators of the group modulo torsion |
j |
-268569/250 |
j-invariant |
L |
1.3028662833513 |
L(r)(E,1)/r! |
Ω |
0.11310281639401 |
Real period |
R |
0.95994241091729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410d1 67280n1 |
Quadratic twists by: -4 29 |