Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bo |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5217641923942E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13065887379,-574852266257582] |
[a1,a2,a3,a4,a6] |
Generators |
[-10166071293375542120887766207993724920712008651294877664256976641166515973093004739551455110:-1994981399721023974704839676062500143169366131225521252517958589866958184794791718589609432:153982119293247770420414460325177383387960455882192426589505186440858888291323911002875] |
Generators of the group modulo torsion |
j |
82613870070426917426690042257/50963574901747509792 |
j-invariant |
L |
7.878646324228 |
L(r)(E,1)/r! |
Ω |
0.01412098016943 |
Real period |
R |
139.48476362292 |
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 |
12978p2 34608u2 |
Quadratic twists by: -4 -3 |