Atkin-Lehner |
2- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49088l |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1725541376 = -1 · 210 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 -3 0 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2317,42211] |
[a1,a2,a3,a4,a6] |
Generators |
[6:169:1] [27:8:1] |
Generators of the group modulo torsion |
j |
-1343969093632/1685099 |
j-invariant |
L |
8.5301682590696 |
L(r)(E,1)/r! |
Ω |
1.4882202795821 |
Real period |
R |
1.4329478599543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088e1 12272g1 |
Quadratic twists by: -4 8 |