Atkin-Lehner |
2- 3- 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386z |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
594905980032 = 27 · 34 · 72 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1371509,-618338655] |
[a1,a2,a3,a4,a6] |
Generators |
[2746:126391:1] |
Generators of the group modulo torsion |
j |
285311789321435384726737/594905980032 |
j-invariant |
L |
9.0361967257362 |
L(r)(E,1)/r! |
Ω |
0.13950824893698 |
Real period |
R |
2.3132776311974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67158q4 |
Quadratic twists by: -3 |