Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bi |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-2.918595316461E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 1 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7559379,11469171105] |
[a1,a2,a3,a4,a6] |
Generators |
[11448:1188135:1] |
Generators of the group modulo torsion |
j |
-1979194826139139153/1209150480920832 |
j-invariant |
L |
9.9572071136289 |
L(r)(E,1)/r! |
Ω |
0.10912823451643 |
Real period |
R |
0.19008995790241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834k1 |
Quadratic twists by: 17 |