Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600l |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-44000000000000 = -1 · 214 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1700,-318000] |
[a1,a2,a3,a4,a6] |
j |
2122416/171875 |
j-invariant |
L |
2.4382602938406 |
L(r)(E,1)/r! |
Ω |
0.30478253673008 |
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 |
17600bm2 2200e2 3520l2 |
Quadratic twists by: -4 8 5 |