Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
83952t |
Isogeny class |
Conductor |
83952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-6508573681471488 = -1 · 212 · 36 · 114 · 533 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- 1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51627,-5954150] |
[a1,a2,a3,a4,a6] |
Generators |
[279:1166:1] |
Generators of the group modulo torsion |
j |
-5096439860329/2179708157 |
j-invariant |
L |
3.3480481363891 |
L(r)(E,1)/r! |
Ω |
0.15512627941718 |
Real period |
R |
0.89928029102193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5247a1 9328f1 |
Quadratic twists by: -4 -3 |