Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279k |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-15812380710212163 = -1 · 3 · 76 · 119 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-335573,74954336] |
[a1,a2,a3,a4,a6] |
Generators |
[41520:62192:125] |
Generators of the group modulo torsion |
j |
-2359010787328000/8925676683 |
j-invariant |
L |
4.8535970807866 |
L(r)(E,1)/r! |
Ω |
0.39414358092259 |
Real period |
R |
3.0785716904447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389h2 |
Quadratic twists by: -11 |