Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813j |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.7095078930479E+20 |
Discriminant |
Eigenvalues |
1 3- -4 0 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1556064,977069709] |
[a1,a2,a3,a4,a6] |
j |
-116340772335201233/47730591665289 |
j-invariant |
L |
0.67869851430962 |
L(r)(E,1)/r! |
Ω |
0.16967462857787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11271e2 33813h2 |
Quadratic twists by: -3 17 |