Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bs |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1538887680 = 212 · 33 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125240,-17017680] |
[a1,a2,a3,a4,a6] |
j |
53039132070930361/375705 |
j-invariant |
L |
2.0302685517684 |
L(r)(E,1)/r! |
Ω |
0.25378356929675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795j1 |
Quadratic twists by: -4 |