Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cl |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-1.2452208340489E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11+ 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-690053396,6977227725303] |
[a1,a2,a3,a4,a6] |
Generators |
[15167:-7485:1] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
11.219668884295 |
L(r)(E,1)/r! |
Ω |
0.13455856702249 |
Real period |
R |
2.0845326188744 |
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 |
3718h1 33462bl1 |
Quadratic twists by: -3 13 |