Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bp |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2144531250000 = 24 · 32 · 512 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3533,40812] |
[a1,a2,a3,a4,a6] |
Generators |
[8:114:1] |
Generators of the group modulo torsion |
j |
19513606144/8578125 |
j-invariant |
L |
5.2141064705542 |
L(r)(E,1)/r! |
Ω |
0.74163538803662 |
Real period |
R |
3.5152762082367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300k1 14640be1 |
Quadratic twists by: -4 5 |