Atkin-Lehner |
2+ 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144a |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10562568192 = 218 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12673,-544895] |
[a1,a2,a3,a4,a6] |
Generators |
[1130:5445:8] |
Generators of the group modulo torsion |
j |
858729462625/40293 |
j-invariant |
L |
4.4685852307292 |
L(r)(E,1)/r! |
Ω |
0.44996430471531 |
Real period |
R |
4.9654885761132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144cw2 1221c2 |
Quadratic twists by: -4 8 |