Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608bs |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-5363965810368 = -1 · 26 · 317 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4351,-13263] |
[a1,a2,a3,a4,a6] |
Generators |
[64:729:1] |
Generators of the group modulo torsion |
j |
142302054182912/83811965787 |
j-invariant |
L |
3.243619925848 |
L(r)(E,1)/r! |
Ω |
0.44805140167865 |
Real period |
R |
0.42584661992338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998507306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124608ch1 1947b1 |
Quadratic twists by: -4 8 |