Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960k |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.7045212061083E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-544578376,-4891145703440] |
[a1,a2,a3,a4,a6] |
Generators |
[415701661180736537527140775841:113082050662992554842821392678808:5105304697954674603652361] |
Generators of the group modulo torsion |
j |
4360586866142271373029551689/139270537258502400000 |
j-invariant |
L |
2.7437048843317 |
L(r)(E,1)/r! |
Ω |
0.031252537772869 |
Real period |
R |
43.895713434087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2370c2 75840ct2 56880bv2 94800cy2 |
Quadratic twists by: -4 8 -3 5 |