Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
55275b |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2812288359375 = 36 · 57 · 11 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8275,-281750] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:589:8] |
Generators of the group modulo torsion |
j |
4011342040369/179986455 |
j-invariant |
L |
5.3294228749995 |
L(r)(E,1)/r! |
Ω |
0.50194324477463 |
Real period |
R |
5.3087903168319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055f2 |
Quadratic twists by: 5 |