Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bl |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2579801342976 = -1 · 210 · 36 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11- 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4083156,3176740048] |
[a1,a2,a3,a4,a6] |
Generators |
[1128:-2852:1] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
2.605517141944 |
L(r)(E,1)/r! |
Ω |
0.48515781295254 |
Real period |
R |
0.22376886726195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718l1 33462cl1 |
Quadratic twists by: -3 13 |