Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216l |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.0457249983917E+20 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ 3 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,823337,-399224894] |
[a1,a2,a3,a4,a6] |
Generators |
[16302:481474:27] |
Generators of the group modulo torsion |
j |
241110789289545781296/408486327496746149 |
j-invariant |
L |
3.3484645669249 |
L(r)(E,1)/r! |
Ω |
0.099113401162435 |
Real period |
R |
2.1115109862186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804d1 |
Quadratic twists by: -4 |