Atkin-Lehner |
2+ 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
65650c |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-626759350997811200 = -1 · 216 · 52 · 135 · 1013 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 0 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1033522,-405946924] |
[a1,a2,a3,a4,a6] |
j |
-4883634091178783573985/25070374039912448 |
j-invariant |
L |
4.0415693272194 |
L(r)(E,1)/r! |
Ω |
0.074843876275121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65650x1 |
Quadratic twists by: 5 |