Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ci |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8345904239577762 = -1 · 2 · 310 · 114 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18284,4501761] |
[a1,a2,a3,a4,a6] |
Generators |
[-42490:2301219:1000] |
Generators of the group modulo torsion |
j |
-192100033/2371842 |
j-invariant |
L |
11.257228480209 |
L(r)(E,1)/r! |
Ω |
0.35133073085726 |
Real period |
R |
8.0104211583916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154h4 198a4 |
Quadratic twists by: -3 13 |