Atkin-Lehner |
2+ 3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430d |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
684264589084920000 = 26 · 3 · 54 · 232 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-689748,-217153392] |
[a1,a2,a3,a4,a6] |
j |
36290758518464259926089/684264589084920000 |
j-invariant |
L |
0.66341325136898 |
L(r)(E,1)/r! |
Ω |
0.16585331284209 |
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 |
97290bo2 |
Quadratic twists by: -3 |