Atkin-Lehner |
2- 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4758j |
Isogeny class |
Conductor |
4758 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1840 |
Modular degree for the optimal curve |
Δ |
-989664 = -1 · 25 · 3 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -4 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-364,-2704] |
[a1,a2,a3,a4,a6] |
j |
-5334607002817/989664 |
j-invariant |
L |
5.4649119059227 |
L(r)(E,1)/r! |
Ω |
0.54649119059227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38064w1 14274j1 118950b1 61854g1 |
Quadratic twists by: -4 -3 5 13 |