Atkin-Lehner |
2- 3+ 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670bd |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1884211200 = -1 · 211 · 33 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,217,1631] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:161:8] [-5:22:1] |
Generators of the group modulo torsion |
j |
42035292333/69785600 |
j-invariant |
L |
14.627944747296 |
L(r)(E,1)/r! |
Ω |
1.0124328668221 |
Real period |
R |
0.32837070057747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670h1 |
Quadratic twists by: -3 |