Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880k |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
4121600 = 210 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,0] |
[a1,a2,a3,a4,a6] |
j |
7086244/4025 |
j-invariant |
L |
4.0920904098924 |
L(r)(E,1)/r! |
Ω |
2.0460452049462 |
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 |
6440h1 51520by1 115920u1 64400e1 |
Quadratic twists by: -4 8 -3 5 |