Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520o |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-21461760 = -1 · 28 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,121] |
[a1,a2,a3,a4,a6] |
Generators |
[13:54:1] |
Generators of the group modulo torsion |
j |
87228416/83835 |
j-invariant |
L |
3.1116795977246 |
L(r)(E,1)/r! |
Ω |
1.412078744003 |
Real period |
R |
0.5509040503123 |
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 |
1380c1 22080da1 16560bt1 27600cj1 |
Quadratic twists by: -4 8 -3 5 |