Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190g |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2182580867610 = 2 · 36 · 5 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5568,140958] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:555:1] |
Generators of the group modulo torsion |
j |
10779215329/1232010 |
j-invariant |
L |
2.8324281668775 |
L(r)(E,1)/r! |
Ω |
0.79617841827031 |
Real period |
R |
1.7787647227476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390e2 |
Quadratic twists by: -11 |