Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240x |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-56000 = -1 · 26 · 53 · 7 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 1 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75,277] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
2.7158868308461 |
L(r)(E,1)/r! |
Ω |
3.5195233250141 |
Real period |
R |
0.25722108555095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2240z1 1120a1 20160ds1 11200cj1 |
Quadratic twists by: -4 8 -3 5 |