Atkin-Lehner |
3- 7+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471k |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5287680 |
Modular degree for the optimal curve |
Δ |
-3.9532263411113E+21 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 2 -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6051591,-6477959610] |
[a1,a2,a3,a4,a6] |
Generators |
[4380194366:78400697140:1442897] |
Generators of the group modulo torsion |
j |
-33620558928253455006577/5422807052278830333 |
j-invariant |
L |
8.5599844842837 |
L(r)(E,1)/r! |
Ω |
0.04770594205843 |
Real period |
R |
14.952687434267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157k1 |
Quadratic twists by: -3 |