Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400be |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
191909250000 = 24 · 310 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1650,-14875] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:25:1] |
Generators of the group modulo torsion |
j |
2725888/1053 |
j-invariant |
L |
5.1451013427034 |
L(r)(E,1)/r! |
Ω |
0.77402804681706 |
Real period |
R |
1.6617942217536 |
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 |
46800k1 7800a1 936e1 |
Quadratic twists by: -4 -3 5 |