Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cr |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
5441126400 = 216 · 34 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4481,113919] |
[a1,a2,a3,a4,a6] |
Generators |
[34:45:1] [-41:480:1] |
Generators of the group modulo torsion |
j |
151867739524/83025 |
j-invariant |
L |
9.3645424238699 |
L(r)(E,1)/r! |
Ω |
1.3391105158283 |
Real period |
R |
0.87413830983151 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360h1 9840e1 118080fj1 |
Quadratic twists by: -4 8 -3 |