Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bf |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
261120000000000 = 219 · 3 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44200833,-113093390463] |
[a1,a2,a3,a4,a6] |
j |
3730569358698025/102 |
j-invariant |
L |
2.9276013527182 |
L(r)(E,1)/r! |
Ω |
0.058552027799664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ja2 2550be2 81600eo1 |
Quadratic twists by: -4 8 5 |