Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440v |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34529852160000 = -1 · 211 · 32 · 54 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5824,227040] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:186:1] |
Generators of the group modulo torsion |
j |
10665550756222/16860279375 |
j-invariant |
L |
7.1445050278212 |
L(r)(E,1)/r! |
Ω |
0.44546035345482 |
Real period |
R |
4.0096189101965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104880a3 |
Quadratic twists by: -4 |