Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960t |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3685824000000 = 212 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5616,131220] |
[a1,a2,a3,a4,a6] |
j |
4783242408049/899859375 |
j-invariant |
L |
4.4908295345213 |
L(r)(E,1)/r! |
Ω |
0.74847158908688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1185a2 75840bz2 56880by2 94800bs2 |
Quadratic twists by: -4 8 -3 5 |