Atkin-Lehner |
3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279i |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-92628116581077 = -1 · 32 · 7 · 118 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- 11- 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5019,444456] |
[a1,a2,a3,a4,a6] |
Generators |
[50:882:1] |
Generators of the group modulo torsion |
j |
65227151/432117 |
j-invariant |
L |
4.5862066790625 |
L(r)(E,1)/r! |
Ω |
0.43710467070771 |
Real period |
R |
1.7487065022882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279e1 |
Quadratic twists by: -11 |