Atkin-Lehner |
2+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52288i |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1584013508608 = -1 · 220 · 19 · 433 |
Discriminant |
Eigenvalues |
2+ -2 -2 3 4 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17729,904735] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2752:1] |
Generators of the group modulo torsion |
j |
-2351045349073/6042532 |
j-invariant |
L |
3.8208786352165 |
L(r)(E,1)/r! |
Ω |
0.84756866711203 |
Real period |
R |
0.37567050941908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288o1 1634b1 |
Quadratic twists by: -4 8 |