Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150bb |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
137359803164062500 = 22 · 36 · 510 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22614417,-41387276759] |
[a1,a2,a3,a4,a6] |
Generators |
[-563755679:292643752:205379] |
Generators of the group modulo torsion |
j |
112287744132511049929/12059022500 |
j-invariant |
L |
3.983385869464 |
L(r)(E,1)/r! |
Ω |
0.069231414909674 |
Real period |
R |
7.1921576040149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997289478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350l1 25830bl1 |
Quadratic twists by: -3 5 |