Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cw |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-6.1784822559722E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 0 11- 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16060207,28570682625] |
[a1,a2,a3,a4,a6] |
j |
4558438520831/6147814464 |
j-invariant |
L |
2.959017064985 |
L(r)(E,1)/r! |
Ω |
0.061646188853998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154a1 33462s1 |
Quadratic twists by: -3 13 |