Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062bn |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-185327294166 = -1 · 2 · 313 · 7 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,481,20189] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:419:8] |
Generators of the group modulo torsion |
j |
16915218263/254221254 |
j-invariant |
L |
7.7433426341978 |
L(r)(E,1)/r! |
Ω |
0.75025168987975 |
Real period |
R |
2.5802483148916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354o1 |
Quadratic twists by: -3 |