Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bt |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-20487168 = -1 · 210 · 34 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-969,11295] |
[a1,a2,a3,a4,a6] |
Generators |
[18:3:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
6.9003988609563 |
L(r)(E,1)/r! |
Ω |
2.0982150590089 |
Real period |
R |
0.82217488042198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cq1 2964b1 |
Quadratic twists by: -4 8 |