Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5220i |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-51372630000 = -1 · 24 · 311 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1713,-29387] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2025:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
3.4146295267429 |
L(r)(E,1)/r! |
Ω |
0.36910656965913 |
Real period |
R |
1.1563833481399 |
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 |
20880bt1 83520da1 1740h1 26100o1 |
Quadratic twists by: -4 8 -3 5 |