Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150bw |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-14554583135718750 = -1 · 2 · 33 · 56 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105563,-14464969] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
0.26320467317076 |
L(r)(E,1)/r! |
Ω |
0.13160223600796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046d1 4350j1 |
Quadratic twists by: 5 29 |