Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99238c |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2681280 |
Modular degree for the optimal curve |
Δ |
453473580347662208 = 27 · 297 · 593 |
Discriminant |
Eigenvalues |
2+ -2 4 -2 -3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-846064,-297851586] |
[a1,a2,a3,a4,a6] |
Generators |
[-184674:535793:343] |
Generators of the group modulo torsion |
j |
112601619161569/762366848 |
j-invariant |
L |
3.4454435911955 |
L(r)(E,1)/r! |
Ω |
0.15748021390052 |
Real period |
R |
5.469645229269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999667225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422e1 |
Quadratic twists by: 29 |