Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120v |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
268697600 = 218 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,65] |
[a1,a2,a3,a4,a6] |
j |
1771561/1025 |
j-invariant |
L |
2.9484542032979 |
L(r)(E,1)/r! |
Ω |
1.474227101649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120e1 3280k1 118080gc1 65600bm1 |
Quadratic twists by: -4 8 -3 5 |