Atkin-Lehner |
2+ 5- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650p |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
4186000000000 = 210 · 59 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4117,-24459] |
[a1,a2,a3,a4,a6] |
Generators |
[115:949:1] |
Generators of the group modulo torsion |
j |
3951805941/2143232 |
j-invariant |
L |
3.163134556678 |
L(r)(E,1)/r! |
Ω |
0.6354711082461 |
Real period |
R |
4.9776213250439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650bm1 |
Quadratic twists by: 5 |