Atkin-Lehner |
3+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bg |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-376315186259887875 = -1 · 32 · 53 · 712 · 11 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 11- 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,170455,11664638] |
[a1,a2,a3,a4,a6] |
j |
4655455280562176/3198626305875 |
j-invariant |
L |
2.2814079906936 |
L(r)(E,1)/r! |
Ω |
0.19011731381954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15015n2 |
Quadratic twists by: -7 |