Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474q |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-891707628474 = -1 · 2 · 36 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1557,38407] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:27836:125] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
5.3301177681187 |
L(r)(E,1)/r! |
Ω |
0.61460816144762 |
Real period |
R |
4.3361918262752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386g1 234e1 |
Quadratic twists by: -3 -19 |