Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770h |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
679696875000 = 23 · 32 · 58 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 13- -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5593,-158387] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:82:1] |
Generators of the group modulo torsion |
j |
8809462985077/309375000 |
j-invariant |
L |
2.0698517025323 |
L(r)(E,1)/r! |
Ω |
0.55324104926485 |
Real period |
R |
1.8706599098096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770ch2 |
Quadratic twists by: 13 |