Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800bs |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18360000000000 = 212 · 33 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62033,-5963937] |
[a1,a2,a3,a4,a6] |
j |
412495384384/286875 |
j-invariant |
L |
3.6303011331827 |
L(r)(E,1)/r! |
Ω |
0.30252509443963 |
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 |
40800f4 81600t1 122400s4 8160a2 |
Quadratic twists by: -4 8 -3 5 |