Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640n |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1875429504000 = 210 · 33 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1368056,-615435300] |
[a1,a2,a3,a4,a6] |
Generators |
[1056762:53583816:343] |
Generators of the group modulo torsion |
j |
276525826093439435236/1831474125 |
j-invariant |
L |
4.756451206705 |
L(r)(E,1)/r! |
Ω |
0.1395961881875 |
Real period |
R |
8.518232604454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280p4 88920p4 |
Quadratic twists by: -4 -3 |