Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34983c |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3156313153617 = 37 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28931,1899330] |
[a1,a2,a3,a4,a6] |
Generators |
[104:33:1] [113:195:1] |
Generators of the group modulo torsion |
j |
761048497/897 |
j-invariant |
L |
5.174391007906 |
L(r)(E,1)/r! |
Ω |
0.79533868898682 |
Real period |
R |
6.5058962672842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11661e1 2691c1 |
Quadratic twists by: -3 13 |