Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120u |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2823004160000 = 216 · 54 · 413 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91628,-10675248] |
[a1,a2,a3,a4,a6] |
j |
1298160537477444/43075625 |
j-invariant |
L |
0.54881170226141 |
L(r)(E,1)/r! |
Ω |
0.27440585113071 |
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 |
13120a1 3280a1 118080gh1 65600bd1 |
Quadratic twists by: -4 8 -3 5 |