Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
3264bc |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7952941449216 = 222 · 38 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7297,195455] |
[a1,a2,a3,a4,a6] |
j |
163936758817/30338064 |
j-invariant |
L |
2.8099910365417 |
L(r)(E,1)/r! |
Ω |
0.70249775913542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3264h2 816h2 9792bq2 81600fh2 |
Quadratic twists by: -4 8 -3 5 |