Atkin-Lehner |
2- 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110cj |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
37756368000 = 27 · 37 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,-759] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:99:1] |
Generators of the group modulo torsion |
j |
90458382169/51792000 |
j-invariant |
L |
12.552052938601 |
L(r)(E,1)/r! |
Ω |
0.96103835301929 |
Real period |
R |
0.15548724076378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370a1 |
Quadratic twists by: -3 |