Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470cj |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1120719887878500 = 22 · 36 · 53 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44394,3231008] |
[a1,a2,a3,a4,a6] |
Generators |
[62:814:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
5.6327954258681 |
L(r)(E,1)/r! |
Ω |
0.4731005464097 |
Real period |
R |
0.49608864627242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830o1 8190bi1 |
Quadratic twists by: -3 13 |