Atkin-Lehner |
3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825j |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5730935282459E+28 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-644625650,-1808616155625] |
[a1,a2,a3,a4,a6] |
j |
16115292555782480096401/8557487595112640625 |
j-invariant |
L |
3.1823294290925 |
L(r)(E,1)/r! |
Ω |
0.03182329432115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13965o2 9975l2 |
Quadratic twists by: 5 -7 |