Atkin-Lehner |
2- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86336o |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-176816128 = -1 · 217 · 19 · 71 |
Discriminant |
Eigenvalues |
2- -2 0 1 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-513,4351] |
[a1,a2,a3,a4,a6] |
Generators |
[15:16:1] |
Generators of the group modulo torsion |
j |
-114133250/1349 |
j-invariant |
L |
3.8039166252824 |
L(r)(E,1)/r! |
Ω |
1.8112634026978 |
Real period |
R |
0.5250363664941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336c1 21584a1 |
Quadratic twists by: -4 8 |