Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2210f |
Isogeny class |
Conductor |
2210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
46962500000 = 25 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2440,-45408] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:38:1] |
Generators of the group modulo torsion |
j |
1606587247762561/46962500000 |
j-invariant |
L |
3.3216287650319 |
L(r)(E,1)/r! |
Ω |
0.68049880647877 |
Real period |
R |
0.24405838286621 |
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 |
17680k2 70720k2 19890f2 11050i2 |
Quadratic twists by: -4 8 -3 5 |