Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450dl |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
32979527848800 = 25 · 315 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18365,-912603] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:150:1] |
Generators of the group modulo torsion |
j |
37584329167345/1809576288 |
j-invariant |
L |
11.553828779254 |
L(r)(E,1)/r! |
Ω |
0.41133755259433 |
Real period |
R |
1.4044218328202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33150f1 99450bn1 |
Quadratic twists by: -3 5 |