Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608k |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6519382474752 = 217 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32940,-2297808] |
[a1,a2,a3,a4,a6] |
j |
1532121750/2527 |
j-invariant |
L |
2.8353172891292 |
L(r)(E,1)/r! |
Ω |
0.35441466106774 |
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 |
76608df2 9576r2 76608l2 |
Quadratic twists by: -4 8 -3 |