Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054o |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
20645055673146432 = 26 · 39 · 117 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-555151,-159103870] |
[a1,a2,a3,a4,a6] |
j |
10680703423890625/11653595712 |
j-invariant |
L |
3.1484574093113 |
L(r)(E,1)/r! |
Ω |
0.1749143005173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bw1 1914m1 |
Quadratic twists by: -3 -11 |