Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ft |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
89893440000000 = 212 · 32 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11408,-112812] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:600:1] [-53:588:1] |
Generators of the group modulo torsion |
j |
2565726409/1404585 |
j-invariant |
L |
13.14848808058 |
L(r)(E,1)/r! |
Ω |
0.49351037025839 |
Real period |
R |
1.6651737322417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825d1 21840bi1 |
Quadratic twists by: -4 5 |