Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bf |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
27398736000000 = 210 · 310 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26688,1659112] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1625:1] |
Generators of the group modulo torsion |
j |
2816075628544/36703125 |
j-invariant |
L |
3.71700157835 |
L(r)(E,1)/r! |
Ω |
0.6686216857831 |
Real period |
R |
2.7795999249041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fa1 5220o1 27840bw1 |
Quadratic twists by: -4 8 -3 |