Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065g |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11115827550140625 = -1 · 312 · 56 · 132 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7875,-5067414] |
[a1,a2,a3,a4,a6] |
Generators |
[794478:2768196:4913] |
Generators of the group modulo torsion |
j |
74082708125999/15248048765625 |
j-invariant |
L |
6.8179204661382 |
L(r)(E,1)/r! |
Ω |
0.19035242792282 |
Real period |
R |
8.9543387237949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17355l2 |
Quadratic twists by: -3 |