Atkin-Lehner |
2- 5+ 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
121900d |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
3262593958188800 = 28 · 52 · 23 · 536 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 3 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48988,-3124488] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:318:1] |
Generators of the group modulo torsion |
j |
2031522940916560/509780305967 |
j-invariant |
L |
6.5744325331328 |
L(r)(E,1)/r! |
Ω |
0.32681729710111 |
Real period |
R |
1.1175854460967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999197216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121900k2 |
Quadratic twists by: 5 |