Atkin-Lehner |
2- 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68880bu |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.8744803939122E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40008080,-97384465728] |
[a1,a2,a3,a4,a6] |
j |
1729047422759633803829521/94591806491996100 |
j-invariant |
L |
0.72035287106004 |
L(r)(E,1)/r! |
Ω |
0.060029406817675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610r2 |
Quadratic twists by: -4 |