Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850bj |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
173866500 = 22 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477,4081] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:68:1] |
Generators of the group modulo torsion |
j |
131872229/1908 |
j-invariant |
L |
4.3377759750252 |
L(r)(E,1)/r! |
Ω |
1.811453537946 |
Real period |
R |
0.59865956870522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950bk1 23850df1 |
Quadratic twists by: -3 5 |