Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320bg |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4668185600000 = -1 · 213 · 55 · 133 · 83 |
Discriminant |
Eigenvalues |
2- -3 5- -3 3 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4507,156106] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:-520:1] |
Generators of the group modulo torsion |
j |
-2471874619761/1139693750 |
j-invariant |
L |
3.3575840315895 |
L(r)(E,1)/r! |
Ω |
0.72158831250085 |
Real period |
R |
0.077550776388062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790k1 |
Quadratic twists by: -4 |