Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ey |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-49423438541094912 = -1 · 217 · 310 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36276,10360208] |
[a1,a2,a3,a4,a6] |
j |
55251546334/517244049 |
j-invariant |
L |
4.1870828650067 |
L(r)(E,1)/r! |
Ω |
0.26169268244169 |
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 |
76608bv3 19152ba4 25536ch3 |
Quadratic twists by: -4 8 -3 |