Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hy |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-20575296000 = -1 · 29 · 38 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,432,-5832] |
[a1,a2,a3,a4,a6] |
Generators |
[18:90:1] |
Generators of the group modulo torsion |
j |
2836568/6561 |
j-invariant |
L |
7.7644829646195 |
L(r)(E,1)/r! |
Ω |
0.62863531268324 |
Real period |
R |
0.38597910076083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bs1 117600bt1 117600fp1 |
Quadratic twists by: -4 5 -7 |