Atkin-Lehner |
2- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650ba |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
55809468260000000 = 28 · 57 · 74 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3033130,2033947497] |
[a1,a2,a3,a4,a6] |
Generators |
[-951:64175:1] |
Generators of the group modulo torsion |
j |
197504331936229055529/3571805968640 |
j-invariant |
L |
11.156452338192 |
L(r)(E,1)/r! |
Ω |
0.32460452963232 |
Real period |
R |
0.71602848774885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961259 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20930a1 |
Quadratic twists by: 5 |