Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424di |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-134463614877696 = -1 · 230 · 3 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200097,34389471] |
[a1,a2,a3,a4,a6] |
Generators |
[6141:22528:27] [257:72:1] |
Generators of the group modulo torsion |
j |
-3379929898439017/512937984 |
j-invariant |
L |
9.8486420485076 |
L(r)(E,1)/r! |
Ω |
0.56407246324935 |
Real period |
R |
4.3649720072204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424j2 11856u2 |
Quadratic twists by: -4 8 |