Atkin-Lehner |
2- 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600dg |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1548979200000000 = -1 · 216 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 -4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20792,-1494412] |
[a1,a2,a3,a4,a6] |
Generators |
[62:192:1] [158:-2400:1] |
Generators of the group modulo torsion |
j |
621257495/968112 |
j-invariant |
L |
12.661677356658 |
L(r)(E,1)/r! |
Ω |
0.25151097306312 |
Real period |
R |
0.69920062656903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450d1 99600by1 |
Quadratic twists by: -4 5 |