Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872t |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
11653595712 = 26 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1065,-12328] |
[a1,a2,a3,a4,a6] |
Generators |
[52:270:1] |
Generators of the group modulo torsion |
j |
2863288000/249777 |
j-invariant |
L |
7.843717961663 |
L(r)(E,1)/r! |
Ω |
0.8403735340979 |
Real period |
R |
2.3334022466691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872z1 30624c1 |
Quadratic twists by: -4 -3 |