Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120cd |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
218871533404160 = 236 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76545,-8145665] |
[a1,a2,a3,a4,a6] |
Generators |
[-18995:1624:125] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
3.4568895989251 |
L(r)(E,1)/r! |
Ω |
0.28710131624449 |
Real period |
R |
6.0203304605913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120w1 7280o1 |
Quadratic twists by: -4 8 |