Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700cf |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-759960630000 = -1 · 24 · 312 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2175,15325] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:81:1] [164:2187:1] |
Generators of the group modulo torsion |
j |
156089600/104247 |
j-invariant |
L |
12.191075633712 |
L(r)(E,1)/r! |
Ω |
0.56429691481737 |
Real period |
R |
5.4010022537372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42900bk1 128700r1 |
Quadratic twists by: -3 5 |