Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770w |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-3792150000 = -1 · 24 · 33 · 55 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17,-2959] |
[a1,a2,a3,a4,a6] |
Generators |
[21:64:1] |
Generators of the group modulo torsion |
j |
-19034163/140450000 |
j-invariant |
L |
5.4756279403918 |
L(r)(E,1)/r! |
Ω |
0.63552363761657 |
Real period |
R |
0.4307965602135 |
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 |
38160z1 4770b1 23850h1 |
Quadratic twists by: -4 -3 5 |