Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800bd |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-3861447200000000 = -1 · 211 · 58 · 136 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -1 13+ 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21125,-2746250] |
[a1,a2,a3,a4,a6] |
Generators |
[650:16900:1] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
2.5583769242797 |
L(r)(E,1)/r! |
Ω |
0.22426813780349 |
Real period |
R |
1.9012783457464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600bc1 33800j1 200a1 |
Quadratic twists by: -4 5 13 |