Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396k |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-540748032 = -1 · 28 · 3 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-1036] |
[a1,a2,a3,a4,a6] |
Generators |
[22398:230041:216] |
Generators of the group modulo torsion |
j |
250000/1587 |
j-invariant |
L |
6.8045422108121 |
L(r)(E,1)/r! |
Ω |
0.82104089975518 |
Real period |
R |
8.2877018828672 |
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 |
100188n2 33396j2 |
Quadratic twists by: -3 -11 |