Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bg |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
571392 |
Modular degree for the optimal curve |
Δ |
13226777632265625 = 318 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64917,3164616] |
[a1,a2,a3,a4,a6] |
Generators |
[-5984592:285313621:110592] |
Generators of the group modulo torsion |
j |
2656166199049/1161198585 |
j-invariant |
L |
8.4830494669407 |
L(r)(E,1)/r! |
Ω |
0.35859227325285 |
Real period |
R |
11.828265831972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775u1 19665u1 |
Quadratic twists by: -3 5 |