Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ck |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1170902304 = -1 · 25 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11+ 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266,2409] |
[a1,a2,a3,a4,a6] |
Generators |
[11:21:1] |
Generators of the group modulo torsion |
j |
-16835377/9504 |
j-invariant |
L |
10.434151577701 |
L(r)(E,1)/r! |
Ω |
1.4304082560415 |
Real period |
R |
0.36472634765743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154k1 33462bj1 |
Quadratic twists by: -3 13 |