Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400bl |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
27225000000 = 26 · 32 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-758,1512] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:84:1] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
5.6118027086841 |
L(r)(E,1)/r! |
Ω |
1.0218863367419 |
Real period |
R |
2.7458057256037 |
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 |
26400by1 52800gl2 79200bd1 5280i1 |
Quadratic twists by: -4 8 -3 5 |