Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104q |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-7782699930937344 = -1 · 211 · 33 · 73 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,4244436] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1284:1] [198:3468:1] |
Generators of the group modulo torsion |
j |
-2/157437 |
j-invariant |
L |
12.325946139113 |
L(r)(E,1)/r! |
Ω |
0.3307135734915 |
Real period |
R |
0.77647416120242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552y1 5712e1 |
Quadratic twists by: -4 17 |