Atkin-Lehner |
2- 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cl |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-73925042343750000 = -1 · 24 · 39 · 510 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,97437,5845617] |
[a1,a2,a3,a4,a6] |
Generators |
[192:-5721:1] |
Generators of the group modulo torsion |
j |
6547494154694039/4731202710000 |
j-invariant |
L |
10.554914990538 |
L(r)(E,1)/r! |
Ω |
0.21939308334247 |
Real period |
R |
0.66818898398293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770a1 |
Quadratic twists by: 5 |