Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120y |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1800960128000 = 210 · 53 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5168,-127592] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:124:1] |
Generators of the group modulo torsion |
j |
14907034976256/1758750125 |
j-invariant |
L |
3.525119853754 |
L(r)(E,1)/r! |
Ω |
0.56741739256499 |
Real period |
R |
1.5531423189575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120d1 27280o1 |
Quadratic twists by: -4 8 |