Atkin-Lehner |
3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48279b |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
46100235306741 = 3 · 73 · 119 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 3 7+ 11+ 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10204,-221772] |
[a1,a2,a3,a4,a6] |
Generators |
[-717:4645:27] |
Generators of the group modulo torsion |
j |
49836032/19551 |
j-invariant |
L |
3.0860844478514 |
L(r)(E,1)/r! |
Ω |
0.49121757376062 |
Real period |
R |
3.1412602202213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48279h1 |
Quadratic twists by: -11 |