Atkin-Lehner |
3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725i |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
113400221484375 = 39 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 1 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12867,233666] |
[a1,a2,a3,a4,a6] |
j |
30642435/14749 |
j-invariant |
L |
1.0542416784219 |
L(r)(E,1)/r! |
Ω |
0.5271208397619 |
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 |
67725j1 67725h1 |
Quadratic twists by: -3 5 |