Atkin-Lehner |
2- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27328p |
Isogeny class |
Conductor |
27328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1790967808 = 222 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173153,-27790561] |
[a1,a2,a3,a4,a6] |
j |
2190162605289625/6832 |
j-invariant |
L |
0.93616377488285 |
L(r)(E,1)/r! |
Ω |
0.23404094372081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27328e1 6832e1 |
Quadratic twists by: -4 8 |