Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bn |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
351295045632 = 216 · 38 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-12782] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:32:1] [-34:108:1] |
Generators of the group modulo torsion |
j |
244140625/117648 |
j-invariant |
L |
12.140387485746 |
L(r)(E,1)/r! |
Ω |
0.76122791551076 |
Real period |
R |
3.9871066342861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14706f1 39216z1 |
Quadratic twists by: -4 -3 |