Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462h |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-199011631104 = -1 · 215 · 33 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2508,-52272] |
[a1,a2,a3,a4,a6] |
Generators |
[26733:147930:343] |
Generators of the group modulo torsion |
j |
-382431133539/43614208 |
j-invariant |
L |
5.3739111886624 |
L(r)(E,1)/r! |
Ω |
0.33515962878006 |
Real period |
R |
8.0169428642449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462cc2 33462cd1 |
Quadratic twists by: -3 13 |