Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bk |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
216057600 = 28 · 32 · 52 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37196,-2748804] |
[a1,a2,a3,a4,a6] |
j |
22232286976471504/843975 |
j-invariant |
L |
0.68755039246572 |
L(r)(E,1)/r! |
Ω |
0.34377518378883 |
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 |
20460k2 |
Quadratic twists by: -4 |