Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800cw |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
19415040000000 = 220 · 3 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12008,455988] |
[a1,a2,a3,a4,a6] |
j |
2992209121/303360 |
j-invariant |
L |
1.3319940874525 |
L(r)(E,1)/r! |
Ω |
0.66599706381484 |
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 |
11850a1 18960n1 |
Quadratic twists by: -4 5 |