Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536m |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1026568042004348928 = 220 · 318 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-508193,130812321] |
[a1,a2,a3,a4,a6] |
j |
55369510069623625/3916046302812 |
j-invariant |
L |
1.0864203110082 |
L(r)(E,1)/r! |
Ω |
0.27160507775211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536cw2 798e2 76608ce2 |
Quadratic twists by: -4 8 -3 |