Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592m |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
3959036116992 = 216 · 33 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48353,4107489] |
[a1,a2,a3,a4,a6] |
Generators |
[145:-352:1] [-159:2784:1] |
Generators of the group modulo torsion |
j |
190775691638500/60410097 |
j-invariant |
L |
8.8490732011429 |
L(r)(E,1)/r! |
Ω |
0.76683928487487 |
Real period |
R |
1.9232785312836 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592cs1 10824h1 |
Quadratic twists by: -4 8 |