Atkin-Lehner |
2+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110ba |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
130260130000 = 24 · 54 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11- 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1267,-931] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:63:1] [-22:141:1] |
Generators of the group modulo torsion |
j |
1861245499201/1076530000 |
j-invariant |
L |
7.4770101774617 |
L(r)(E,1)/r! |
Ω |
0.8762306778748 |
Real period |
R |
0.17777401463502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110110cr1 |
Quadratic twists by: -11 |