Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
67344f |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
4581038426112 = 211 · 313 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 3 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6168,153396] |
[a1,a2,a3,a4,a6] |
Generators |
[114:-972:1] |
Generators of the group modulo torsion |
j |
12673520275250/2236835169 |
j-invariant |
L |
9.4959394586703 |
L(r)(E,1)/r! |
Ω |
0.73698920644539 |
Real period |
R |
0.24778411781851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672c1 |
Quadratic twists by: -4 |