Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490co |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1512691648875000 = -1 · 23 · 33 · 56 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4535,-1867183] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1733:1] |
Generators of the group modulo torsion |
j |
5822285399/853875000 |
j-invariant |
L |
14.585771979413 |
L(r)(E,1)/r! |
Ω |
0.22549070747193 |
Real period |
R |
0.5989313076541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590m1 |
Quadratic twists by: -11 |