Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
25584ba |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
8026083127296 = 212 · 37 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -1 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5096,-33804] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:-246:1] |
Generators of the group modulo torsion |
j |
3573857582569/1959492951 |
j-invariant |
L |
5.529403538518 |
L(r)(E,1)/r! |
Ω |
0.60386065653714 |
Real period |
R |
0.21801795460193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599d1 102336bp1 76752cf1 |
Quadratic twists by: -4 8 -3 |