Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cv |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3977712690 = 2 · 3 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8835681,-10109735385] |
[a1,a2,a3,a4,a6] |
Generators |
[16800718709606454:418895681657523265:4497027282216] |
Generators of the group modulo torsion |
j |
648418741232906810881/33810 |
j-invariant |
L |
9.816847500188 |
L(r)(E,1)/r! |
Ω |
0.087566813732483 |
Real period |
R |
28.026734906041 |
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 |
101430by4 4830w4 |
Quadratic twists by: -3 -7 |