Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400ch |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
711048375000000000 = 29 · 39 · 512 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2052675,-1131225750] |
[a1,a2,a3,a4,a6] |
Generators |
[25347950342:-2325452930722:2924207] |
Generators of the group modulo torsion |
j |
6074394750936/4515625 |
j-invariant |
L |
8.9141009102972 |
L(r)(E,1)/r! |
Ω |
0.12613595116829 |
Real period |
R |
17.667645195466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400f2 122400a2 24480d2 |
Quadratic twists by: -4 -3 5 |