Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bi |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-1.8101228492404E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11+ 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2754995,-20544572397] |
[a1,a2,a3,a4,a6] |
Generators |
[8891:806562:1] |
Generators of the group modulo torsion |
j |
-2383309398005493875/186553098502668288 |
j-invariant |
L |
8.2463108951796 |
L(r)(E,1)/r! |
Ω |
0.044680823728026 |
Real period |
R |
1.3981848817117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506b1 67518h1 |
Quadratic twists by: -3 -11 |