Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fw |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
33901369344000000 = 217 · 39 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84972,3523664] |
[a1,a2,a3,a4,a6] |
Generators |
[4618:-313200:1] [-182:3600:1] |
Generators of the group modulo torsion |
j |
710090624882/354796875 |
j-invariant |
L |
10.35909035398 |
L(r)(E,1)/r! |
Ω |
0.32606127828614 |
Real period |
R |
0.66188289365615 |
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 |
83520cb2 20880p2 27840cp2 |
Quadratic twists by: -4 8 -3 |