Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bo |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-84440070000 = -1 · 24 · 310 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1092,-1287] |
[a1,a2,a3,a4,a6] |
Generators |
[48:405:1] |
Generators of the group modulo torsion |
j |
14387782400/8444007 |
j-invariant |
L |
6.6416323809438 |
L(r)(E,1)/r! |
Ω |
0.63441360208996 |
Real period |
R |
0.17448218743229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800bw1 |
Quadratic twists by: 5 |