Atkin-Lehner |
2- 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21580b |
Isogeny class |
Conductor |
21580 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
143640 |
Modular degree for the optimal curve |
Δ |
-45924846451045120 = -1 · 28 · 5 · 137 · 833 |
Discriminant |
Eigenvalues |
2- 0 5- 0 6 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18808,10262644] |
[a1,a2,a3,a4,a6] |
j |
2874164329488384/179393931449395 |
j-invariant |
L |
1.9147887097659 |
L(r)(E,1)/r! |
Ω |
0.27354124425227 |
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 |
86320z1 107900c1 |
Quadratic twists by: -4 5 |