Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bn |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
27302400000000 = 215 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91841,-10679295] |
[a1,a2,a3,a4,a6] |
j |
2614498021134728/833203125 |
j-invariant |
L |
1.0970042546867 |
L(r)(E,1)/r! |
Ω |
0.27425106044639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840ch4 37920r4 |
Quadratic twists by: -4 8 |