Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104be |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
218176152403968 = 220 · 39 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24699,1314218] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1674:1] |
Generators of the group modulo torsion |
j |
558051585337/73066752 |
j-invariant |
L |
7.463921232132 |
L(r)(E,1)/r! |
Ω |
0.54006804516891 |
Real period |
R |
1.727541857662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138p1 16368q1 |
Quadratic twists by: -4 -3 |