Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ee |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1353673212641280000 = 217 · 310 · 54 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77766348,-263958505328] |
[a1,a2,a3,a4,a6] |
Generators |
[-758506340010665114286144:10513244883215422803092:148971318040761068159] |
Generators of the group modulo torsion |
j |
544328872410114151778/14166950625 |
j-invariant |
L |
6.5207725978538 |
L(r)(E,1)/r! |
Ω |
0.050839541975254 |
Real period |
R |
32.065457045446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bq4 16560q3 22080cz4 |
Quadratic twists by: -4 8 -3 |