Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770t |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-72469115043840 = -1 · 218 · 39 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3292,402247] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:445:1] |
Generators of the group modulo torsion |
j |
200509785477/3681812480 |
j-invariant |
L |
5.0719603164589 |
L(r)(E,1)/r! |
Ω |
0.45830010986769 |
Real period |
R |
0.61482763601771 |
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 |
38160s1 4770d1 23850a1 |
Quadratic twists by: -4 -3 5 |