Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608bg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
141289257931702272 = 216 · 39 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422796,-104257424] |
[a1,a2,a3,a4,a6] |
j |
174947951977348/2957342913 |
j-invariant |
L |
1.4993468234609 |
L(r)(E,1)/r! |
Ω |
0.18741834996414 |
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 |
76608fq3 9576u3 25536z3 |
Quadratic twists by: -4 8 -3 |