Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770r |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-9171872372736000 = -1 · 214 · 313 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30906,4098100] |
[a1,a2,a3,a4,a6] |
j |
4478336057868191/12581443584000 |
j-invariant |
L |
1.7306576184732 |
L(r)(E,1)/r! |
Ω |
0.28844293641221 |
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 |
38160cj1 1590k1 23850cl1 |
Quadratic twists by: -4 -3 5 |