Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240f |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31470387200 = 219 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17132,-863056] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/120050 |
j-invariant |
L |
1.6692024146298 |
L(r)(E,1)/r! |
Ω |
0.41730060365744 |
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 |
2240y4 70a3 20160be4 11200p3 |
Quadratic twists by: -4 8 -3 5 |