Atkin-Lehner |
3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677b |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-735448455881233623 = -1 · 34 · 239 · 712 |
Discriminant |
Eigenvalues |
1 3+ -4 4 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97082,42831255] |
[a1,a2,a3,a4,a6] |
j |
-56181887/408321 |
j-invariant |
L |
0.48956035690555 |
L(r)(E,1)/r! |
Ω |
0.24477994249451 |
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 |
112677a2 |
Quadratic twists by: -23 |