Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
47700m |
Isogeny class |
Conductor |
47700 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
10853133300000000 = 28 · 36 · 58 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111000,13322500] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3650:1] |
Generators of the group modulo torsion |
j |
2074746880/148877 |
j-invariant |
L |
6.4924723181535 |
L(r)(E,1)/r! |
Ω |
0.39668270627959 |
Real period |
R |
2.7278192433455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5300f2 47700d2 |
Quadratic twists by: -3 5 |