Atkin-Lehner |
2- 3+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816k |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1069056 |
Modular degree for the optimal curve |
Δ |
96473527753900032 = 228 · 39 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127467,-9138150] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1674:1] |
Generators of the group modulo torsion |
j |
2840964228747/1196621824 |
j-invariant |
L |
2.590876904895 |
L(r)(E,1)/r! |
Ω |
0.26234827570979 |
Real period |
R |
2.4689288432481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10602f1 84816j1 |
Quadratic twists by: -4 -3 |