Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940l |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
610829100000000 = 28 · 38 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39063,-2723362] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:324:1] |
Generators of the group modulo torsion |
j |
35322627332176/3273046875 |
j-invariant |
L |
5.2465104326378 |
L(r)(E,1)/r! |
Ω |
0.34160819998038 |
Real period |
R |
3.8395671070975 |
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 |
95760eh2 7980a2 119700bg2 |
Quadratic twists by: -4 -3 5 |