Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240t |
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] |
Generators |
[624:2296:27] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
2.9617139512442 |
L(r)(E,1)/r! |
Ω |
0.63149596480311 |
Real period |
R |
4.6899966370611 |
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 |
2240o1 1120o4 20160fa1 11200bt1 |
Quadratic twists by: -4 8 -3 5 |