Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bp |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
30023471923200 = 216 · 39 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118598,15747797] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:5083:1] |
Generators of the group modulo torsion |
j |
253060782505556761/41184460800 |
j-invariant |
L |
6.2405566177791 |
L(r)(E,1)/r! |
Ω |
0.64001547151045 |
Real period |
R |
0.60941462507258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760dp1 3990p1 59850bs1 83790fj1 |
Quadratic twists by: -4 -3 5 -7 |