Atkin-Lehner |
2+ 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936f |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
-126706032 = -1 · 24 · 38 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72,567] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
-2615888128/7919127 |
j-invariant |
L |
8.0912125340728 |
L(r)(E,1)/r! |
Ω |
1.6312608692619 |
Real period |
R |
0.6200121548944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968j1 |
Quadratic twists by: -4 |