Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465k |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
443097237515625 = 314 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146228,21535206] |
[a1,a2,a3,a4,a6] |
j |
474334834335054841/607815140625 |
j-invariant |
L |
1.0543788555275 |
L(r)(E,1)/r! |
Ω |
0.52718942776376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440cv2 1155f2 17325q2 24255bu2 |
Quadratic twists by: -4 -3 5 -7 |