Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244s |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-1455529980773232 = -1 · 24 · 36 · 72 · 135 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42069,-3794663] |
[a1,a2,a3,a4,a6] |
Generators |
[816:22477:1] |
Generators of the group modulo torsion |
j |
-705931834922752/124788235663 |
j-invariant |
L |
8.2152567641926 |
L(r)(E,1)/r! |
Ω |
0.16508807905669 |
Real period |
R |
0.82938118153563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916d1 |
Quadratic twists by: -3 |