Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160m |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
34280243200 = 216 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 3 -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1123,-11422] |
[a1,a2,a3,a4,a6] |
j |
38238692409/8369200 |
j-invariant |
L |
3.350261707579 |
L(r)(E,1)/r! |
Ω |
0.83756542689291 |
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 |
4270a1 |
Quadratic twists by: -4 |