Atkin-Lehner |
2- 3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710bc |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
219297780 = 22 · 36 · 5 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9486,-356400] |
[a1,a2,a3,a4,a6] |
Generators |
[216:2664:1] |
Generators of the group modulo torsion |
j |
94400856459576289/219297780 |
j-invariant |
L |
11.016834147348 |
L(r)(E,1)/r! |
Ω |
0.48375848630721 |
Real period |
R |
3.795569641732 |
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 |
104130v2 |
Quadratic twists by: -3 |