Atkin-Lehner |
2+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69290l |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.9701343126358E+25 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-682686658,-6855612541932] |
[a1,a2,a3,a4,a6] |
j |
7290005289557168759843809/12368698062500000000 |
j-invariant |
L |
0.35446201403127 |
L(r)(E,1)/r! |
Ω |
0.029538501500812 |
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 |
5330e3 |
Quadratic twists by: 13 |