Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240o |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6146560000 = 212 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3268,71808] |
[a1,a2,a3,a4,a6] |
j |
942344950464/1500625 |
j-invariant |
L |
1.3416565782797 |
L(r)(E,1)/r! |
Ω |
1.3416565782797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2240t2 1120l1 20160em2 11200ch2 |
Quadratic twists by: -4 8 -3 5 |