Atkin-Lehner |
3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235f |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
168392834352765 = 33 · 5 · 119 · 232 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104567,-12973694] |
[a1,a2,a3,a4,a6] |
j |
1986121593/2645 |
j-invariant |
L |
2.1241036686951 |
L(r)(E,1)/r! |
Ω |
0.26551309697972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235a2 125235e2 |
Quadratic twists by: -3 -11 |