Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062bk |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-127404988452 = -1 · 22 · 39 · 7 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,670,15653] |
[a1,a2,a3,a4,a6] |
Generators |
[33:253:1] |
Generators of the group modulo torsion |
j |
45690734375/174766788 |
j-invariant |
L |
10.638573911247 |
L(r)(E,1)/r! |
Ω |
0.74225545239377 |
Real period |
R |
1.7915957836515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354l1 |
Quadratic twists by: -3 |