Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248b |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8928963134789632 = -1 · 211 · 119 · 432 |
Discriminant |
Eigenvalues |
2+ 2 0 4 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37712,-3579552] |
[a1,a2,a3,a4,a6] |
Generators |
[485660353241598:-12070892315152034:862529545359] |
Generators of the group modulo torsion |
j |
1228250/1849 |
j-invariant |
L |
10.51763415049 |
L(r)(E,1)/r! |
Ω |
0.2177754518058 |
Real period |
R |
24.147887333151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624i2 83248f2 |
Quadratic twists by: -4 -11 |