Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900n |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
310722773900000000 = 28 · 58 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-171908,5834312] |
[a1,a2,a3,a4,a6] |
Generators |
[26:18375:8] |
Generators of the group modulo torsion |
j |
1193895376/660275 |
j-invariant |
L |
9.8194143064347 |
L(r)(E,1)/r! |
Ω |
0.26562350482925 |
Real period |
R |
3.0806179071414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780g2 7700b2 |
Quadratic twists by: 5 -7 |