Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200dr |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-534117888000 = -1 · 212 · 39 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1747,21723] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] [-2:135:1] |
Generators of the group modulo torsion |
j |
1151022592/1043199 |
j-invariant |
L |
13.211678241891 |
L(r)(E,1)/r! |
Ω |
0.60409264657203 |
Real period |
R |
0.60750791175064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200co1 127200u1 |
Quadratic twists by: -4 5 |