Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650bu |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2801664 |
Modular degree for the optimal curve |
Δ |
-1.1031992598528E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,310062,-500823969] |
[a1,a2,a3,a4,a6] |
Generators |
[1449:53987:1] |
Generators of the group modulo torsion |
j |
210983858600846759/7060475263057920 |
j-invariant |
L |
7.4900066500803 |
L(r)(E,1)/r! |
Ω |
0.090389535815181 |
Real period |
R |
5.1789779805407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13530i1 |
Quadratic twists by: 5 |