Atkin-Lehner |
7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34307j |
Isogeny class |
Conductor |
34307 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
974847971168981 = 72 · 138 · 293 |
Discriminant |
Eigenvalues |
0 -2 3 7- 6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24899,165975] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:570:1] |
Generators of the group modulo torsion |
j |
2092859392/1195061 |
j-invariant |
L |
4.6055008178997 |
L(r)(E,1)/r! |
Ω |
0.42423403142309 |
Real period |
R |
5.4280190611421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34307e1 |
Quadratic twists by: 13 |