Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610s |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16360564062500 = 22 · 58 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93673,11056581] |
[a1,a2,a3,a4,a6] |
Generators |
[1171:38222:1] |
Generators of the group modulo torsion |
j |
772635063744081/139062500 |
j-invariant |
L |
6.3775906557432 |
L(r)(E,1)/r! |
Ω |
0.67452780732713 |
Real period |
R |
4.72744828787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890h3 |
Quadratic twists by: -7 |