Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485q |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2056345348853250015 = 3 · 5 · 1114 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3531388,2553040103] |
[a1,a2,a3,a4,a6] |
Generators |
[14973094812:31525307537:13144256] |
Generators of the group modulo torsion |
j |
2749183540559997841/1160753340615 |
j-invariant |
L |
8.7307980863766 |
L(r)(E,1)/r! |
Ω |
0.25727311025072 |
Real period |
R |
16.967956888048 |
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 |
103455r6 3135e5 |
Quadratic twists by: -3 -11 |