Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62868d |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
221637613392 = 24 · 38 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3813,-86490] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:31:1] |
Generators of the group modulo torsion |
j |
174456832000/6305121 |
j-invariant |
L |
4.7692783100283 |
L(r)(E,1)/r! |
Ω |
0.60888803733458 |
Real period |
R |
1.3054612171358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000249 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62868e1 |
Quadratic twists by: 13 |