Atkin-Lehner |
2+ 3+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710b |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46911401372160 = 29 · 34 · 5 · 134 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16473,737253] |
[a1,a2,a3,a4,a6] |
Generators |
[113:522:1] |
Generators of the group modulo torsion |
j |
494405166602590489/46911401372160 |
j-invariant |
L |
3.1358398488278 |
L(r)(E,1)/r! |
Ω |
0.61995363380289 |
Real period |
R |
2.529092240005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130by2 |
Quadratic twists by: -3 |