Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648bh |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3075072 |
Modular degree for the optimal curve |
Δ |
-7540064753025024 = -1 · 220 · 32 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11- -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154277384,-737618488332] |
[a1,a2,a3,a4,a6] |
Generators |
[21246:2361216:1] |
Generators of the group modulo torsion |
j |
-99144942546405114122445577/1840836121344 |
j-invariant |
L |
6.5092132662518 |
L(r)(E,1)/r! |
Ω |
0.021418743611606 |
Real period |
R |
5.4268333050162 |
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 |
2706b1 86592cd1 64944bc1 |
Quadratic twists by: -4 8 -3 |