Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450cn |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-4.7048983488E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4881380,-4162965753] |
[a1,a2,a3,a4,a6] |
Generators |
[2609:27945:1] |
Generators of the group modulo torsion |
j |
-1129285954562528881/4130500608000 |
j-invariant |
L |
13.268484092638 |
L(r)(E,1)/r! |
Ω |
0.050773701144888 |
Real period |
R |
4.3554319736508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150e1 19890m1 |
Quadratic twists by: -3 5 |