Atkin-Lehner |
2- 3+ 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934bc |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
424320 |
Modular degree for the optimal curve |
Δ |
-21318892388352 = -1 · 217 · 33 · 13 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 0 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28865,1907793] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1476:1] [-9:1476:1] |
Generators of the group modulo torsion |
j |
-98505510949357875/789588606976 |
j-invariant |
L |
16.565836982972 |
L(r)(E,1)/r! |
Ω |
0.68405322491797 |
Real period |
R |
0.23742328902805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934c1 |
Quadratic twists by: -3 |