Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
11712bb |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-548683776 = -1 · 214 · 32 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,111,-1071] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
9148592/33489 |
j-invariant |
L |
3.0532156448427 |
L(r)(E,1)/r! |
Ω |
0.83477583989774 |
Real period |
R |
0.91438189119631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11712o2 2928m2 35136cn2 |
Quadratic twists by: -4 8 -3 |