Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280c |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-333193824000 = -1 · 28 · 39 · 53 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,-27702] |
[a1,a2,a3,a4,a6] |
j |
574992/66125 |
j-invariant |
L |
0.91202769952917 |
L(r)(E,1)/r! |
Ω |
0.45601384976458 |
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 |
16560c1 66240u1 8280q1 41400bd1 |
Quadratic twists by: -4 8 -3 5 |