Atkin-Lehner |
2- 3+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16356c |
Isogeny class |
Conductor |
16356 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26640 |
Modular degree for the optimal curve |
Δ |
-2844618967728 = -1 · 24 · 310 · 29 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 3 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5713,186874] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:470:1] [25:243:1] |
Generators of the group modulo torsion |
j |
-1289057880064000/177788685483 |
j-invariant |
L |
5.7999069334516 |
L(r)(E,1)/r! |
Ω |
0.77915697069716 |
Real period |
R |
0.41354574748934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65424o1 49068a1 |
Quadratic twists by: -4 -3 |