Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072f |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336540672 = 210 · 32 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224,-1020] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] [-6:12:1] |
Generators of the group modulo torsion |
j |
1219284868/328653 |
j-invariant |
L |
8.9793570108811 |
L(r)(E,1)/r! |
Ω |
1.2584854888669 |
Real period |
R |
1.7837625245419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16536a2 99216h2 |
Quadratic twists by: -4 -3 |