Atkin-Lehner |
2- 5+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78100a |
Isogeny class |
Conductor |
78100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21477500000000 = 28 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7175,70750] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:66:1] [-45:550:1] |
Generators of the group modulo torsion |
j |
10212438096/5369375 |
j-invariant |
L |
9.1816712374944 |
L(r)(E,1)/r! |
Ω |
0.59710981317729 |
Real period |
R |
2.5628092284064 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15620b2 |
Quadratic twists by: 5 |