Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400x |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2141363955600000000 = -1 · 210 · 32 · 58 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1011408,398122812] |
[a1,a2,a3,a4,a6] |
j |
-7151272254745636/133835247225 |
j-invariant |
L |
2.0869913246929 |
L(r)(E,1)/r! |
Ω |
0.26087391558661 |
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 |
34800z2 52200t2 3480e2 |
Quadratic twists by: -4 -3 5 |