Atkin-Lehner |
3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725b |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-182553844921875 = -1 · 37 · 58 · 74 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4867,635168] |
[a1,a2,a3,a4,a6] |
j |
815827779584/11683446075 |
j-invariant |
L |
1.6877901529133 |
L(r)(E,1)/r! |
Ω |
0.42194753821807 |
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 |
9345d1 |
Quadratic twists by: 5 |