Atkin-Lehner |
3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
99705n |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
17161723125 = 35 · 54 · 173 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 4 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1031,-11425] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:25:1] [-21:37:1] |
Generators of the group modulo torsion |
j |
24693014528/3493125 |
j-invariant |
L |
10.822314577739 |
L(r)(E,1)/r! |
Ω |
0.85039187435562 |
Real period |
R |
0.63631338118894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99705i1 |
Quadratic twists by: 17 |