Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840i |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
446437785600 = 218 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27841,-1778495] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:17:1] |
Generators of the group modulo torsion |
j |
9104453457841/1703025 |
j-invariant |
L |
2.3504977289901 |
L(r)(E,1)/r! |
Ω |
0.36959996545138 |
Real period |
R |
3.179786186018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840dk2 435d2 83520dg2 |
Quadratic twists by: -4 8 -3 |