Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200ch |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
93605625000000 = 26 · 34 · 510 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11658,-138312] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4368:1] |
Generators of the group modulo torsion |
j |
175239948736/93605625 |
j-invariant |
L |
9.0701748463174 |
L(r)(E,1)/r! |
Ω |
0.48848443609933 |
Real period |
R |
4.6419978550489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030789 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103200f1 20640a1 |
Quadratic twists by: -4 5 |