Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
19392u |
Isogeny class |
Conductor |
19392 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-437655706603094016 = -1 · 225 · 317 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84097,-33212449] |
[a1,a2,a3,a4,a6] |
Generators |
[3275:186624:1] |
Generators of the group modulo torsion |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
5.1074268321116 |
L(r)(E,1)/r! |
Ω |
0.12472369504409 |
Real period |
R |
0.60220488250237 |
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 |
19392be1 606d1 58176q1 |
Quadratic twists by: -4 8 -3 |