Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600f |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
565152200000000000 = 212 · 511 · 414 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360633,-74981863] |
[a1,a2,a3,a4,a6] |
Generators |
[58593592:1050144375:68921] |
Generators of the group modulo torsion |
j |
81047819728576/8830503125 |
j-invariant |
L |
8.5438092096696 |
L(r)(E,1)/r! |
Ω |
0.19619646547405 |
Real period |
R |
10.886803171337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600j2 32800l1 13120r2 |
Quadratic twists by: -4 8 5 |