Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fe |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1405071360 = -1 · 212 · 34 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,-1815] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2552:1] |
Generators of the group modulo torsion |
j |
4410944/343035 |
j-invariant |
L |
4.878932898845 |
L(r)(E,1)/r! |
Ω |
0.7225209787882 |
Real period |
R |
3.3763261142761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920il2 36960p1 |
Quadratic twists by: -4 8 |