Atkin-Lehner |
2+ 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264h |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-32915753255043072 = -1 · 219 · 32 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105217,-15737087] |
[a1,a2,a3,a4,a6] |
j |
-491411892194497/125563633938 |
j-invariant |
L |
2.0925805934311 |
L(r)(E,1)/r! |
Ω |
0.13078628708944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3264bc6 102b6 9792k6 81600cn5 |
Quadratic twists by: -4 8 -3 5 |