Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240o |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1225000000 = -1 · 26 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143,1808] |
[a1,a2,a3,a4,a6] |
j |
-5053029696/19140625 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
2240t1 1120l4 20160em1 11200ch1 |
Quadratic twists by: -4 8 -3 5 |