Atkin-Lehner |
3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
118815c |
Isogeny class |
Conductor |
118815 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
111820790466225 = 32 · 52 · 896 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39770,3006675] |
[a1,a2,a3,a4,a6] |
Generators |
[211365:1009575:1331] |
Generators of the group modulo torsion |
j |
13997521/225 |
j-invariant |
L |
5.2759177670262 |
L(r)(E,1)/r! |
Ω |
0.59385450224121 |
Real period |
R |
8.8841926045985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810599 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15a3 |
Quadratic twists by: 89 |