Atkin-Lehner |
2- 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060m |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
-144133136640 = -1 · 28 · 35 · 5 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2060,-41052] |
[a1,a2,a3,a4,a6] |
j |
-3778298043856/563020065 |
j-invariant |
L |
5.2712692246033 |
L(r)(E,1)/r! |
Ω |
0.35141794830685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99180j1 |
Quadratic twists by: -3 |