Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820s |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
6483918747600 = 24 · 39 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27048,1707797] |
[a1,a2,a3,a4,a6] |
j |
1594753024/4725 |
j-invariant |
L |
1.5084277716159 |
L(r)(E,1)/r! |
Ω |
0.75421388580793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280er1 2940f1 44100cp1 1260j1 |
Quadratic twists by: -4 -3 5 -7 |