Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160n |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
258000 = 24 · 3 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5375,149898] |
[a1,a2,a3,a4,a6] |
Generators |
[51:105:1] |
Generators of the group modulo torsion |
j |
1073544204384256/16125 |
j-invariant |
L |
4.7832885672582 |
L(r)(E,1)/r! |
Ω |
2.2115386426666 |
Real period |
R |
1.4419187543536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10320e1 41280a1 15480d1 25800a1 |
Quadratic twists by: -4 8 -3 5 |