Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054y |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-1262598610944 = -1 · 213 · 3 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11- 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6839,221453] |
[a1,a2,a3,a4,a6] |
Generators |
[83:442:1] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
8.7574800332342 |
L(r)(E,1)/r! |
Ω |
0.85602667921359 |
Real period |
R |
0.39347623538302 |
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 |
63162bc1 174e1 |
Quadratic twists by: -3 -11 |