Atkin-Lehner |
3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325b |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-671319580078125 = -1 · 32 · 514 · 112 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2725,-1244250] |
[a1,a2,a3,a4,a6] |
Generators |
[68810:900320:343] |
Generators of the group modulo torsion |
j |
143137741391/42964453125 |
j-invariant |
L |
5.9010584814017 |
L(r)(E,1)/r! |
Ω |
0.23975582091752 |
Real period |
R |
6.1531962606245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665c2 |
Quadratic twists by: 5 |