Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bj |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
597252680859648 = 214 · 3 · 116 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-828648,-290059152] |
[a1,a2,a3,a4,a6] |
Generators |
[-526:38:1] [74604:3673232:27] |
Generators of the group modulo torsion |
j |
8671983378625/82308 |
j-invariant |
L |
9.2330457404109 |
L(r)(E,1)/r! |
Ω |
0.15823670710214 |
Real period |
R |
9.7249303579923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794m3 912e3 |
Quadratic twists by: -4 -11 |