Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dp |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
-39392854200000000 = -1 · 29 · 33 · 58 · 72 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186388,-32426608] |
[a1,a2,a3,a4,a6] |
j |
-1833233006047585/100845706752 |
j-invariant |
L |
6.184047920127 |
L(r)(E,1)/r! |
Ω |
0.11451940595599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55650c1 |
Quadratic twists by: 5 |