Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872bj |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
185459539968 = 222 · 32 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2952,-59148] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:42:1] |
Generators of the group modulo torsion |
j |
141420761/9216 |
j-invariant |
L |
6.0025521689705 |
L(r)(E,1)/r! |
Ω |
0.65032590376162 |
Real period |
R |
2.307516944293 |
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 |
1734c1 55488cr1 41616cj1 13872w1 |
Quadratic twists by: -4 8 -3 17 |