Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390bf |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1444569898705920 = 210 · 315 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-134258,-18812559] |
[a1,a2,a3,a4,a6] |
j |
367124756298856921/1981577364480 |
j-invariant |
L |
4.989831617448 |
L(r)(E,1)/r! |
Ω |
0.24949158087268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130i1 |
Quadratic twists by: -3 |