Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054h |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-2851635681114 = -1 · 2 · 3 · 117 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -5 11- 3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34003,-2428961] |
[a1,a2,a3,a4,a6] |
Generators |
[347:5090:1] |
Generators of the group modulo torsion |
j |
-2454365649169/1609674 |
j-invariant |
L |
1.8470231299487 |
L(r)(E,1)/r! |
Ω |
0.17578082745909 |
Real period |
R |
0.87562788494791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bx1 1914h1 |
Quadratic twists by: -3 -11 |