Atkin-Lehner |
2- 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920r |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11815699218750000 = -1 · 24 · 32 · 512 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15881,5291556] |
[a1,a2,a3,a4,a6] |
j |
-27686280413691904/738481201171875 |
j-invariant |
L |
0.67283071887535 |
L(r)(E,1)/r! |
Ω |
0.33641535943976 |
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 |
7980d3 127680fy3 95760ek3 |
Quadratic twists by: -4 8 -3 |