Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480w |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-41962581360 = -1 · 24 · 313 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5440,156577] |
[a1,a2,a3,a4,a6] |
j |
-1112961803305216/2622661335 |
j-invariant |
L |
2.2929269616097 |
L(r)(E,1)/r! |
Ω |
1.146463480811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960x1 118440x1 |
Quadratic twists by: -4 -3 |