Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bg |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
3.180813192704E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46626945,-122531404543] |
[a1,a2,a3,a4,a6] |
j |
171062444945787531357316/485353575546875 |
j-invariant |
L |
1.6177016151695 |
L(r)(E,1)/r! |
Ω |
0.057775057647661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440eb2 8680k2 |
Quadratic twists by: -4 8 |