Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fw |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
126253375488000 = 216 · 312 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46092,-3770224] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:180:1] [-118:160:1] |
Generators of the group modulo torsion |
j |
226669409284/2642625 |
j-invariant |
L |
10.35909035398 |
L(r)(E,1)/r! |
Ω |
0.32606127828614 |
Real period |
R |
2.6475315746246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cb1 20880p1 27840cp1 |
Quadratic twists by: -4 8 -3 |