Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600dd |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-2.6318635584717E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 5 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8823208,12757644912] |
[a1,a2,a3,a4,a6] |
Generators |
[303626862:15480223226:250047] |
Generators of the group modulo torsion |
j |
-9836106385/3407872 |
j-invariant |
L |
11.058426173689 |
L(r)(E,1)/r! |
Ω |
0.11211526706631 |
Real period |
R |
12.329304544063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450k1 67600ch1 5200bj1 |
Quadratic twists by: -4 5 13 |