Atkin-Lehner |
2- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280l |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4610457927680 = 216 · 5 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5576,124400] |
[a1,a2,a3,a4,a6] |
j |
4681768588489/1125600080 |
j-invariant |
L |
2.9051595105962 |
L(r)(E,1)/r! |
Ω |
0.7262898776488 |
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 |
3410a2 109120bp2 |
Quadratic twists by: -4 8 |