Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010bb |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6181978724640000 = 28 · 32 · 54 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-350015,-79642983] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:445:1] |
Generators of the group modulo torsion |
j |
4742242511320361205361/6181978724640000 |
j-invariant |
L |
8.806670592965 |
L(r)(E,1)/r! |
Ω |
0.1962961947913 |
Real period |
R |
0.46733535567302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030p2 100050f2 |
Quadratic twists by: -3 5 |