Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60520f |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29733476000000 = 28 · 56 · 174 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 4 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12516,474980] |
[a1,a2,a3,a4,a6] |
Generators |
[26:408:1] |
Generators of the group modulo torsion |
j |
847061823682384/116146390625 |
j-invariant |
L |
8.8824529786837 |
L(r)(E,1)/r! |
Ω |
0.63663933056155 |
Real period |
R |
1.7440119846087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040d2 |
Quadratic twists by: -4 |