Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bn |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
8281000000 = 26 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1525,-22500] |
[a1,a2,a3,a4,a6] |
Generators |
[101:924:1] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
5.3492593409053 |
L(r)(E,1)/r! |
Ω |
0.76496180777678 |
Real period |
R |
3.4964224924475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995462 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72800a1 2912a1 |
Quadratic twists by: -4 5 |