Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892p |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-500464675838110464 = -1 · 28 · 310 · 136 · 193 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,197664,-3787292] |
[a1,a2,a3,a4,a6] |
Generators |
[452:13338:1] |
Generators of the group modulo torsion |
j |
4576557860913152/2681673717411 |
j-invariant |
L |
5.1117534709246 |
L(r)(E,1)/r! |
Ω |
0.17312532728062 |
Real period |
R |
2.4605265018208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35568ca2 2964f2 115596q2 |
Quadratic twists by: -4 -3 13 |