Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840v |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2795520 = 211 · 3 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58240,5390420] |
[a1,a2,a3,a4,a6] |
Generators |
[148:186:1] |
Generators of the group modulo torsion |
j |
10667565439614722/1365 |
j-invariant |
L |
7.0493439751957 |
L(r)(E,1)/r! |
Ω |
1.4520485133926 |
Real period |
R |
2.4273789443595 |
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 |
10920m3 87360en4 65520z4 109200a4 |
Quadratic twists by: -4 8 -3 5 |