Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bk |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-2.3501746384806E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3183005,-2197381499] |
[a1,a2,a3,a4,a6] |
Generators |
[21662:749431:8] |
Generators of the group modulo torsion |
j |
-10668796875/70304 |
j-invariant |
L |
11.841394955706 |
L(r)(E,1)/r! |
Ω |
0.056492297750998 |
Real period |
R |
2.3290087373012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474f1 84474d2 |
Quadratic twists by: -3 -19 |