Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400by |
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 |
[-26:36:1] |
Generators of the group modulo torsion |
j |
48228544/27225 |
j-invariant |
L |
5.307631697646 |
L(r)(E,1)/r! |
Ω |
0.98021577822365 |
Real period |
R |
2.7073792401426 |
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 |
26400bl1 52800fe2 79200bx1 5280c1 |
Quadratic twists by: -4 8 -3 5 |