Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022n |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
937728 |
Modular degree for the optimal curve |
Δ |
-7323997358631018256 = -1 · 24 · 194 · 378 |
Discriminant |
Eigenvalues |
2- -2 1 2 0 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,467485,42678289] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:4715:1] |
Generators of the group modulo torsion |
j |
3216717359/2085136 |
j-invariant |
L |
7.3138960049769 |
L(r)(E,1)/r! |
Ω |
0.14692149337428 |
Real period |
R |
3.1113112847562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52022d1 |
Quadratic twists by: 37 |