Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bw |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
6011200000000 = 212 · 58 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -3 5- 0 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16000,-770000] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:31:1] |
Generators of the group modulo torsion |
j |
283115520/3757 |
j-invariant |
L |
3.3842278912269 |
L(r)(E,1)/r! |
Ω |
0.42483304606588 |
Real period |
R |
3.9830092249444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525h1 88400bu1 |
Quadratic twists by: -4 5 |