Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dq |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-144571392 = -1 · 210 · 35 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,567] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
26578688/141183 |
j-invariant |
L |
10.983718959379 |
L(r)(E,1)/r! |
Ω |
1.3221617864455 |
Real period |
R |
1.6614788023831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552e1 27888c1 |
Quadratic twists by: -4 8 |