Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770z |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-38875462734375000 = -1 · 23 · 311 · 510 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,62257,7349231] |
[a1,a2,a3,a4,a6] |
j |
36607265722975319/53327109375000 |
j-invariant |
L |
2.9609893188288 |
L(r)(E,1)/r! |
Ω |
0.2467491099024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38160bn2 1590i2 23850o2 |
Quadratic twists by: -4 -3 5 |