Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279q |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
2.1944601542978E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12706152,17285513895] |
[a1,a2,a3,a4,a6] |
j |
128058892751492323993/1238715547642881 |
j-invariant |
L |
2.0571375356215 |
L(r)(E,1)/r! |
Ω |
0.14693839538372 |
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 |
4389j2 |
Quadratic twists by: -11 |