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 |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
26050781250000 = 24 · 33 · 512 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7431,-19800] |
[a1,a2,a3,a4,a6] |
Generators |
[20163:546931:27] |
Generators of the group modulo torsion |
j |
2836638256175104/1628173828125 |
j-invariant |
L |
4.756451206705 |
L(r)(E,1)/r! |
Ω |
0.55838475275 |
Real period |
R |
8.518232604454 |
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 |
59280p1 88920p1 |
Quadratic twists by: -4 -3 |