Atkin-Lehner |
2+ 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
93808d |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-131199118336 = -1 · 210 · 11 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 11+ 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1739,32906] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:104:1] [19:-82:1] |
Generators of the group modulo torsion |
j |
-567966213252/128124139 |
j-invariant |
L |
7.4982800940488 |
L(r)(E,1)/r! |
Ω |
0.99347856569739 |
Real period |
R |
0.31447919264993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904e1 |
Quadratic twists by: -4 |