Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25830bf |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
63072460567242000 = 24 · 313 · 53 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-378977,89076129] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:13536:1] |
Generators of the group modulo torsion |
j |
8257216470354032329/86519150298000 |
j-invariant |
L |
8.8154699133376 |
L(r)(E,1)/r! |
Ω |
0.35112746609902 |
Real period |
R |
2.0921817963707 |
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 |
8610a1 129150bn1 |
Quadratic twists by: -3 5 |