Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bk |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-1123632 = -1 · 24 · 35 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -4 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
278528/243 |
j-invariant |
L |
6.9025452874705 |
L(r)(E,1)/r! |
Ω |
1.5138698841358 |
Real period |
R |
0.91190733890725 |
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 |
3468c1 55488cs1 41616ck1 13872ba1 |
Quadratic twists by: -4 8 -3 17 |