Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655p |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-412670790959587875 = -1 · 314 · 53 · 11 · 137 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 11- 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3036423,-2036767847] |
[a1,a2,a3,a4,a6] |
Generators |
[10899788232372771654:312667689957726376943:4498498662054552] |
Generators of the group modulo torsion |
j |
-879878867636224/117277875 |
j-invariant |
L |
13.249426455908 |
L(r)(E,1)/r! |
Ω |
0.057184129983878 |
Real period |
R |
28.962201706233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885j1 6435n1 |
Quadratic twists by: -3 13 |