Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400t |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2205225000000 = 26 · 36 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24758,1489488] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1500:1] |
Generators of the group modulo torsion |
j |
1678370855104/2205225 |
j-invariant |
L |
6.8958325548209 |
L(r)(E,1)/r! |
Ω |
0.82033495295088 |
Real period |
R |
1.4010196952711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26400a1 52800eb2 79200dc1 5280n1 |
Quadratic twists by: -4 8 -3 5 |