Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200p |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-56908316672000000 = -1 · 236 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 0 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113208,18581588] |
[a1,a2,a3,a4,a6] |
Generators |
[268:2750:1] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
4.7234824756467 |
L(r)(E,1)/r! |
Ω |
0.33222792916974 |
Real period |
R |
3.5543989990931 |
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 |
2650b1 84800bo1 848b1 |
Quadratic twists by: -4 8 5 |