Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600ba |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-301796000000000 = -1 · 211 · 59 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11+ 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16208,-1158412] |
[a1,a2,a3,a4,a6] |
Generators |
[158:500:1] |
Generators of the group modulo torsion |
j |
-117727738/75449 |
j-invariant |
L |
9.1186111194221 |
L(r)(E,1)/r! |
Ω |
0.20562032181064 |
Real period |
R |
1.8477849207258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41800z1 83600bb1 |
Quadratic twists by: -4 5 |