Atkin-Lehner |
3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325c |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
549261474609375 = 34 · 514 · 11 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-151063,-22633594] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:222:1] |
Generators of the group modulo torsion |
j |
24399345762538921/35152734375 |
j-invariant |
L |
3.5344162760615 |
L(r)(E,1)/r! |
Ω |
0.24218519433209 |
Real period |
R |
1.8242322190284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665f3 |
Quadratic twists by: 5 |