Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34983c |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2831212898794449 = 38 · 138 · 232 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36536,828546] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:1230:1] [-46:1575:1] |
Generators of the group modulo torsion |
j |
1532808577/804609 |
j-invariant |
L |
5.174391007906 |
L(r)(E,1)/r! |
Ω |
0.39766934449341 |
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 |
11661e2 2691c2 |
Quadratic twists by: -3 13 |