Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460a |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-342500400 = -1 · 24 · 34 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-890] |
[a1,a2,a3,a4,a6] |
j |
-16384/21406275 |
j-invariant |
L |
1.5637061540308 |
L(r)(E,1)/r! |
Ω |
0.78185307701539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840db1 61380s1 102300q1 |
Quadratic twists by: -4 -3 5 |