Atkin-Lehner |
2- 3+ 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710u |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-14217216000000 = -1 · 218 · 3 · 56 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21261,1198083] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-166:1] |
Generators of the group modulo torsion |
j |
-1062859971261495889/14217216000000 |
j-invariant |
L |
6.6794624922767 |
L(r)(E,1)/r! |
Ω |
0.7062050257124 |
Real period |
R |
1.0509164790965 |
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 |
104130x1 |
Quadratic twists by: -3 |