Atkin-Lehner |
2+ 3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042s |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
43580874546667584 = 26 · 310 · 72 · 234 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2577303,-1591886115] |
[a1,a2,a3,a4,a6] |
Generators |
[-929:591:1] |
Generators of the group modulo torsion |
j |
2597124184544220800113/59781720914496 |
j-invariant |
L |
2.4486564698537 |
L(r)(E,1)/r! |
Ω |
0.11915404131392 |
Real period |
R |
2.5687929248183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014408 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28014s2 |
Quadratic twists by: -3 |