Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240f |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32112640000 = 220 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1132,-11856] |
[a1,a2,a3,a4,a6] |
j |
611960049/122500 |
j-invariant |
L |
1.6692024146298 |
L(r)(E,1)/r! |
Ω |
0.83460120731488 |
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 |
2240y2 70a2 20160be2 11200p2 |
Quadratic twists by: -4 8 -3 5 |