Atkin-Lehner |
5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855j |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2684698635025 = 52 · 112 · 316 |
Discriminant |
Eigenvalues |
1 0 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4024,-57645] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4067:1] [-2956:12203:64] |
Generators of the group modulo torsion |
j |
8120601/3025 |
j-invariant |
L |
11.730040751337 |
L(r)(E,1)/r! |
Ω |
0.61829967526247 |
Real period |
R |
18.971448992528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55a1 |
Quadratic twists by: -31 |