Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800cr |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35707500000000 = 28 · 33 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250575,-48277750] |
[a1,a2,a3,a4,a6] |
Generators |
[-3620298520:-142401025:12487168] |
Generators of the group modulo torsion |
j |
16110654114672/330625 |
j-invariant |
L |
5.5525063224236 |
L(r)(E,1)/r! |
Ω |
0.21338586842159 |
Real period |
R |
13.010482764879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20700a2 82800ck2 16560y2 |
Quadratic twists by: -4 -3 5 |