Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760j |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1855688017416480000 = 28 · 310 · 54 · 135 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1237645196,16758365699004] |
[a1,a2,a3,a4,a6] |
j |
818977986588351710338379863504/7248781318033125 |
j-invariant |
L |
2.6217157283802 |
L(r)(E,1)/r! |
Ω |
0.13108578663905 |
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 |
35880j2 |
Quadratic twists by: -4 |