Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880m |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3527927040000 = 211 · 3 · 54 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3816,-9516] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1950:1] |
Generators of the group modulo torsion |
j |
3001460703698/1722620625 |
j-invariant |
L |
7.800266335674 |
L(r)(E,1)/r! |
Ω |
0.65957184724593 |
Real period |
R |
2.9565643107093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440a3 |
Quadratic twists by: -4 |