Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5580c |
Isogeny class |
Conductor |
5580 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-28926720 = -1 · 28 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[13:55:1] |
Generators of the group modulo torsion |
j |
221184/155 |
j-invariant |
L |
3.4335928210064 |
L(r)(E,1)/r! |
Ω |
1.1841378860553 |
Real period |
R |
2.8996562490241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22320bo1 89280ce1 620c1 27900c1 |
Quadratic twists by: -4 8 -3 5 |