Atkin-Lehner |
2+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112j |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
805491605241856 = 224 · 134 · 412 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31084,-1607760] |
[a1,a2,a3,a4,a6] |
Generators |
[-14855:79833:125] |
Generators of the group modulo torsion |
j |
12670521525297/3072706624 |
j-invariant |
L |
6.0744239454687 |
L(r)(E,1)/r! |
Ω |
0.36590388741977 |
Real period |
R |
8.3005731208587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34112t2 1066e2 |
Quadratic twists by: -4 8 |