Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12705m |
Isogeny class |
Conductor |
12705 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.8036218182513E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22945233,43062822493] |
[a1,a2,a3,a4,a6] |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
2.838718943897 |
L(r)(E,1)/r! |
Ω |
0.11827995599571 |
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 |
38115m5 63525r5 88935m5 1155m6 |
Quadratic twists by: -3 5 -7 -11 |