Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bj |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-5651721779067936 = -1 · 25 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 13+ -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44901,5158453] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:2387:1] |
Generators of the group modulo torsion |
j |
-16835377/9504 |
j-invariant |
L |
2.6718639549273 |
L(r)(E,1)/r! |
Ω |
0.3967238701542 |
Real period |
R |
0.56123502094982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154x1 33462ck1 |
Quadratic twists by: -3 13 |