Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ep |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-23141376000000 = -1 · 216 · 36 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2475,236250] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:350:1] [15:-450:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
11.709516414064 |
L(r)(E,1)/r! |
Ω |
0.57255121504588 |
Real period |
R |
2.5564342772126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950cc1 12400r1 4464x1 |
Quadratic twists by: -4 -3 5 |