Atkin-Lehner |
2- 3- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
35916b |
Isogeny class |
Conductor |
35916 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
25449646608 = 24 · 312 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -1 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1538,-22431] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:27:1] |
Generators of the group modulo torsion |
j |
25162574944000/1590602913 |
j-invariant |
L |
6.537256773803 |
L(r)(E,1)/r! |
Ω |
0.76533981714016 |
Real period |
R |
0.23726776246598 |
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 |
107748c1 |
Quadratic twists by: -3 |