Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396a |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
41650788013824 = 28 · 3 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-489364,-131600456] |
[a1,a2,a3,a4,a6] |
j |
21470715632/69 |
j-invariant |
L |
1.4440477264724 |
L(r)(E,1)/r! |
Ω |
0.18050596580906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188q2 33396b2 |
Quadratic twists by: -3 -11 |