Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600bm |
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] |
Generators |
[-59:111:1] [20:600:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
6.7118599796977 |
L(r)(E,1)/r! |
Ω |
0.48988918346006 |
Real period |
R |
6.850385971266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600l2 4400b2 3520bc2 |
Quadratic twists by: -4 8 5 |