Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624b |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
-58585525990078464 = -1 · 211 · 35 · 136 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 2 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1000536,385719372] |
[a1,a2,a3,a4,a6] |
Generators |
[4284443:13844818:6859] |
Generators of the group modulo torsion |
j |
-11205525764162/5926527 |
j-invariant |
L |
6.1878142900293 |
L(r)(E,1)/r! |
Ω |
0.34721770872997 |
Real period |
R |
8.910568298245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119642 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
696d1 |
Quadratic twists by: 13 |