Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800f |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-361379880000000 = -1 · 29 · 312 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16592,394312] |
[a1,a2,a3,a4,a6] |
j |
63139882168/45172485 |
j-invariant |
L |
1.3653115144055 |
L(r)(E,1)/r! |
Ω |
0.34132787861573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800bs2 81600dk3 122400ct2 8160m4 |
Quadratic twists by: -4 8 -3 5 |