Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550c |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-57038783433156250 = -1 · 2 · 56 · 116 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-140575,23256375] |
[a1,a2,a3,a4,a6] |
Generators |
[105555:6519035:27] |
Generators of the group modulo torsion |
j |
-19662230809392625/3650482139722 |
j-invariant |
L |
7.1538523940741 |
L(r)(E,1)/r! |
Ω |
0.33860764277817 |
Real period |
R |
5.2818155072999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2222a2 |
Quadratic twists by: 5 |