Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120br |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-74547200 = -1 · 215 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,415] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
-8/2275 |
j-invariant |
L |
6.1213529571916 |
L(r)(E,1)/r! |
Ω |
1.5437543483972 |
Real period |
R |
0.99130942749202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29120bi1 14560t1 |
Quadratic twists by: -4 8 |