Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bx |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
5.3941307700881E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-218585816,-1243900627425] |
[a1,a2,a3,a4,a6] |
j |
9817511164935143545689841/45849355031390625 |
j-invariant |
L |
1.2564470195233 |
L(r)(E,1)/r! |
Ω |
0.039263967544045 |
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 |
2145e2 |
Quadratic twists by: -7 |