Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480be |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
630 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-38093022642150000 = -1 · 24 · 39 · 55 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44800,8666973] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:2835:1] |
Generators of the group modulo torsion |
j |
621481316946738944/2380813915134375 |
j-invariant |
L |
8.3613948882122 |
L(r)(E,1)/r! |
Ω |
0.25958227074456 |
Real period |
R |
0.051128512513788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78960h1 118440y1 |
Quadratic twists by: -4 -3 |