Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462br |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
105262350336 = 221 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11+ 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1358,11613] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:83:1] [-19:183:1] |
Generators of the group modulo torsion |
j |
60655851243/23068672 |
j-invariant |
L |
10.794374706665 |
L(r)(E,1)/r! |
Ω |
0.96636323059494 |
Real period |
R |
0.26595478123585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462m1 33462l1 |
Quadratic twists by: -3 13 |