Atkin-Lehner |
3+ 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645a |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-857344921875 = -1 · 33 · 58 · 133 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -1 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-558,-44837] |
[a1,a2,a3,a4,a6] |
j |
-711643594752/31753515625 |
j-invariant |
L |
1.5572633106252 |
L(r)(E,1)/r! |
Ω |
0.38931582765631 |
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 |
21645b1 108225b1 |
Quadratic twists by: -3 5 |