Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488c |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-217476706304 = -1 · 212 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 1 3 4 11+ 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,451,22283] |
[a1,a2,a3,a4,a6] |
Generators |
[-2555:8788:125] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
10.181778769587 |
L(r)(E,1)/r! |
Ω |
0.74613815374395 |
Real period |
R |
3.4114924691787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59488v1 118976bh1 352b1 |
Quadratic twists by: -4 8 13 |