Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462bb |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-70470972 = -1 · 22 · 36 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51,-415] |
[a1,a2,a3,a4,a6] |
Generators |
[13:25:1] |
Generators of the group modulo torsion |
j |
-9261/44 |
j-invariant |
L |
5.8319550476546 |
L(r)(E,1)/r! |
Ω |
0.80770760959205 |
Real period |
R |
1.8050947454241 |
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 |
3718r1 33462di1 |
Quadratic twists by: -3 13 |