Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bf |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1630015488 = 212 · 34 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,-2028] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] |
Generators of the group modulo torsion |
j |
274625/81 |
j-invariant |
L |
6.4306737529826 |
L(r)(E,1)/r! |
Ω |
1.1144951862086 |
Real period |
R |
0.72125409698482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
867b1 55488ce1 41616by1 13872r1 |
Quadratic twists by: -4 8 -3 17 |