Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550ba |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
Δ |
16262094600000000 = 29 · 314 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1154838,477536292] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-12306:1] |
Generators of the group modulo torsion |
j |
10901014250685308569/1040774054400 |
j-invariant |
L |
4.9616972300072 |
L(r)(E,1)/r! |
Ω |
0.37467061319584 |
Real period |
R |
0.10510178289301 |
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 |
20400bw2 81600h2 7650x2 510a2 |
Quadratic twists by: -4 8 -3 5 |