Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
104060m |
Isogeny class |
Conductor |
104060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
357706250000 = 24 · 58 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11+ -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2570,40225] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:275:1] [-50:215:1] |
Generators of the group modulo torsion |
j |
88184857856/16796875 |
j-invariant |
L |
7.3501942209779 |
L(r)(E,1)/r! |
Ω |
0.90857849844691 |
Real period |
R |
0.16853694703718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104060j1 |
Quadratic twists by: -11 |