Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bm |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-1457207826395136 = -1 · 212 · 3 · 179 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 5 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26203,850131] |
[a1,a2,a3,a4,a6] |
Generators |
[-373302:11589767:19683] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
4.5749240819984 |
L(r)(E,1)/r! |
Ω |
0.30489289536921 |
Real period |
R |
7.5025101461588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
867c1 55488cu1 41616cm1 13872x1 |
Quadratic twists by: -4 8 -3 17 |