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 |
421149561235200 = 28 · 312 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41116,-3039620] |
[a1,a2,a3,a4,a6] |
j |
30028032801240784/1645115473575 |
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 |
7980d2 127680fy2 95760ek2 |
Quadratic twists by: -4 8 -3 |