Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400bv |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
297000000 = 26 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2458,46088] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:300:1] |
Generators of the group modulo torsion |
j |
1643032000/297 |
j-invariant |
L |
6.9361574444171 |
L(r)(E,1)/r! |
Ω |
1.6754141474205 |
Real period |
R |
1.3799886344711 |
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 |
26400j1 52800bc1 79200bp1 1056a1 |
Quadratic twists by: -4 8 -3 5 |