Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150bk |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-10581580800000000 = -1 · 216 · 310 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,47245,-2990253] |
[a1,a2,a3,a4,a6] |
j |
1023887723039/928972800 |
j-invariant |
L |
3.5602765999432 |
L(r)(E,1)/r! |
Ω |
0.22251728749645 |
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 |
25200dz1 100800fr1 1050c1 630c1 |
Quadratic twists by: -4 8 -3 5 |