Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bd |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2821369824000 = -1 · 28 · 32 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3484,17520] |
[a1,a2,a3,a4,a6] |
j |
53247522512/32131125 |
j-invariant |
L |
3.9538467395501 |
L(r)(E,1)/r! |
Ω |
0.4942308437011 |
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 |
76440p2 |
Quadratic twists by: -7 |