Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992c |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
446611447296 = 29 · 32 · 7 · 614 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1912,-860] |
[a1,a2,a3,a4,a6] |
j |
1510582804424/872287983 |
j-invariant |
L |
1.5765281164487 |
L(r)(E,1)/r! |
Ω |
0.78826405825891 |
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 |
40992q3 81984bi4 122976bk3 |
Quadratic twists by: -4 8 -3 |