Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920w |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
80788825134796800 = 212 · 3 · 52 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160816,20769280] |
[a1,a2,a3,a4,a6] |
Generators |
[354:2842:1] |
Generators of the group modulo torsion |
j |
112293400033564849/19723834261425 |
j-invariant |
L |
4.0185716403441 |
L(r)(E,1)/r! |
Ω |
0.3263480238207 |
Real period |
R |
2.0522935368695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1995e3 127680gm3 95760ez3 |
Quadratic twists by: -4 8 -3 |