Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8460g |
Isogeny class |
Conductor |
8460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-82231200000 = -1 · 28 · 37 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983,-36682] |
[a1,a2,a3,a4,a6] |
j |
-4620876496/440625 |
j-invariant |
L |
1.4231537330716 |
L(r)(E,1)/r! |
Ω |
0.35578843326791 |
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 |
33840bq1 2820a1 42300p1 |
Quadratic twists by: -4 -3 5 |