Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048z |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
61541444593552 = 24 · 77 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11384,272117] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5929:1] |
Generators of the group modulo torsion |
j |
86683871488/32693353 |
j-invariant |
L |
5.8848178139004 |
L(r)(E,1)/r! |
Ω |
0.56867442799722 |
Real period |
R |
0.25870769067211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998189284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864n1 |
Quadratic twists by: -7 |