Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936l |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
9841548460032 = 225 · 35 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -3 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6544,-134720] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1536:1] |
Generators of the group modulo torsion |
j |
7567631909137/2402721792 |
j-invariant |
L |
3.5564842069224 |
L(r)(E,1)/r! |
Ω |
0.54409662844829 |
Real period |
R |
1.6341234354722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242j1 |
Quadratic twists by: -4 |