Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150c |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-132496000000 = -1 · 210 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,725,16125] |
[a1,a2,a3,a4,a6] |
Generators |
[6:141:1] |
Generators of the group modulo torsion |
j |
15925559/50176 |
j-invariant |
L |
5.9293954995593 |
L(r)(E,1)/r! |
Ω |
0.73389368790956 |
Real period |
R |
2.0198414283885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366p1 59150by1 |
Quadratic twists by: 5 13 |