Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462cr |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-99458783506368 = -1 · 26 · 312 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,-499521] |
[a1,a2,a3,a4,a6] |
j |
-9595703125/62099136 |
j-invariant |
L |
3.0087087147836 |
L(r)(E,1)/r! |
Ω |
0.25072572623191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154l1 33462bn1 |
Quadratic twists by: -3 13 |