Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123596b |
Isogeny class |
Conductor |
123596 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
18869760 |
Modular degree for the optimal curve |
Δ |
-2.5669082625127E+21 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193678677,-1037526153001] |
[a1,a2,a3,a4,a6] |
Generators |
[69730:18014117:1] |
Generators of the group modulo torsion |
j |
-141603491201155072/452392259 |
j-invariant |
L |
2.9484590369269 |
L(r)(E,1)/r! |
Ω |
0.020234804981897 |
Real period |
R |
2.4285375455939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332a1 |
Quadratic twists by: 53 |