Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608o |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2824842166272 = -1 · 214 · 33 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10044,395792] |
[a1,a2,a3,a4,a6] |
j |
-253314541296/6385729 |
j-invariant |
L |
3.2154372123332 |
L(r)(E,1)/r! |
Ω |
0.80385931280061 |
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 |
76608di2 9576f2 76608q2 |
Quadratic twists by: -4 8 -3 |