Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bj |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1931005520 = 24 · 5 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-2130] |
[a1,a2,a3,a4,a6] |
Generators |
[-23374:64988:2197] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
4.4342638797641 |
L(r)(E,1)/r! |
Ω |
1.1031321559706 |
Real period |
R |
8.0394064405865 |
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 |
5780e1 92480dh1 115600bw1 80b2 |
Quadratic twists by: -4 8 5 17 |