Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344l |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
15306051584 = 212 · 433 · 47 |
Discriminant |
Eigenvalues |
2+ 2 1 -2 2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-825,7193] |
[a1,a2,a3,a4,a6] |
j |
15179306176/3736829 |
j-invariant |
L |
2.3344426998983 |
L(r)(E,1)/r! |
Ω |
1.1672212550965 |
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 |
129344p1 64672j1 |
Quadratic twists by: -4 8 |