Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104d |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
17391168553984 = 210 · 198 |
Discriminant |
Eigenvalues |
2+ -1 -3 0 4 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-612737,184816009] |
[a1,a2,a3,a4,a6] |
Generators |
[264:6433:1] |
Generators of the group modulo torsion |
j |
1462911232 |
j-invariant |
L |
3.2954923967461 |
L(r)(E,1)/r! |
Ω |
0.57313851615882 |
Real period |
R |
5.7499056577676 |
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 |
23104bb1 2888a1 23104o1 |
Quadratic twists by: -4 8 -19 |