Atkin-Lehner |
2+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632f |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1137058906112 = 217 · 234 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5996,171184] |
[a1,a2,a3,a4,a6] |
j |
181885742946/8675071 |
j-invariant |
L |
3.4343790279236 |
L(r)(E,1)/r! |
Ω |
0.85859475696549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45632r4 5704a3 |
Quadratic twists by: -4 8 |