Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300g |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
984669036000000 = 28 · 3 · 56 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25108,264712] |
[a1,a2,a3,a4,a6] |
Generators |
[6:338:1] |
Generators of the group modulo torsion |
j |
437640371152/246167259 |
j-invariant |
L |
5.6018981903514 |
L(r)(E,1)/r! |
Ω |
0.42671349787325 |
Real period |
R |
0.72933377480118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652e2 |
Quadratic twists by: 5 |