Atkin-Lehner |
7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34307i |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3120000 |
Modular degree for the optimal curve |
Δ |
6.7891541974195E+21 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- -2 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4750646,-411659478] |
[a1,a2,a3,a4,a6] |
j |
86009869643776/49247268749 |
j-invariant |
L |
0.44351858996602 |
L(r)(E,1)/r! |
Ω |
0.11087964748987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34307d1 |
Quadratic twists by: 13 |