Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bj |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
47071232000000 = 220 · 56 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21808,1202112] |
[a1,a2,a3,a4,a6] |
Generators |
[3819:26000:27] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
10.662621729849 |
L(r)(E,1)/r! |
Ω |
0.63121725429857 |
Real period |
R |
4.2230395557839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11050n1 3536k1 |
Quadratic twists by: -4 5 |