Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280j |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1677230771137413120 = -1 · 239 · 39 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-410508,-118873872] |
[a1,a2,a3,a4,a6] |
j |
-1482713947827/325058560 |
j-invariant |
L |
3.3557425875539 |
L(r)(E,1)/r! |
Ω |
0.093215071409064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280dc2 2790f2 89280v1 |
Quadratic twists by: -4 8 -3 |