Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550bm |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-584339062500 = -1 · 22 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1570,-28303] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1081:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
6.6658587414277 |
L(r)(E,1)/r! |
Ω |
0.48888923383658 |
Real period |
R |
3.4086753604273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400fz1 2850o1 8550m1 |
Quadratic twists by: -4 -3 5 |