Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648j |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
112223232 = 210 · 35 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36528,2674980] |
[a1,a2,a3,a4,a6] |
Generators |
[102:144:1] |
Generators of the group modulo torsion |
j |
5263969051106500/109593 |
j-invariant |
L |
5.2618505387065 |
L(r)(E,1)/r! |
Ω |
1.3517967449883 |
Real period |
R |
0.77849729380019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824a1 86592bt1 64944l1 |
Quadratic twists by: -4 8 -3 |