Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cq |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-10841688 = -1 · 23 · 36 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11+ 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-165] |
[a1,a2,a3,a4,a6] |
Generators |
[11:21:1] |
Generators of the group modulo torsion |
j |
-28561/88 |
j-invariant |
L |
6.3317021333399 |
L(r)(E,1)/r! |
Ω |
0.92894932232518 |
Real period |
R |
1.1359970490624 |
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 |
3718i1 33462bm1 |
Quadratic twists by: -3 13 |