Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bo |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
33017473792322712 = 23 · 36 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294597,-60847011] |
[a1,a2,a3,a4,a6] |
Generators |
[-79574830:148886581:238328] |
Generators of the group modulo torsion |
j |
911871625/10648 |
j-invariant |
L |
4.6186491475555 |
L(r)(E,1)/r! |
Ω |
0.20506850133527 |
Real period |
R |
11.26123492262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858x2 106722cn2 9702bn2 |
Quadratic twists by: -3 -7 -11 |