Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800g |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3454453125000000000 = 29 · 32 · 516 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1232008,519101512] |
[a1,a2,a3,a4,a6] |
j |
25850840101954568/431806640625 |
j-invariant |
L |
1.5050432966818 |
L(r)(E,1)/r! |
Ω |
0.25084054944112 |
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 |
40800ba2 81600is2 122400cu2 8160p2 |
Quadratic twists by: -4 8 -3 5 |