Atkin-Lehner |
2- 3+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710u |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
771061824000 = 29 · 32 · 53 · 132 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-341261,76590083] |
[a1,a2,a3,a4,a6] |
Generators |
[327:148:1] |
Generators of the group modulo torsion |
j |
4395251884834334775889/771061824000 |
j-invariant |
L |
6.6794624922767 |
L(r)(E,1)/r! |
Ω |
0.7062050257124 |
Real period |
R |
0.52545823954823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130x2 |
Quadratic twists by: -3 |