Atkin-Lehner |
2- 5+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
122960l |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
789120 |
Modular degree for the optimal curve |
Δ |
-110526284800000 = -1 · 213 · 55 · 29 · 533 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-919283,339252018] |
[a1,a2,a3,a4,a6] |
Generators |
[-1039:13144:1] [551:-106:1] |
Generators of the group modulo torsion |
j |
-20975457927160031049/26983956250 |
j-invariant |
L |
10.624830876879 |
L(r)(E,1)/r! |
Ω |
0.50234769100114 |
Real period |
R |
1.7625293976152 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15370c1 |
Quadratic twists by: -4 |