Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
546a |
Isogeny class |
Conductor |
546 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120 |
Modular degree for the optimal curve |
Δ |
-2167074 = -1 · 2 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 13- -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108,-486] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/2167074 |
j-invariant |
L |
0.73891685631033 |
L(r)(E,1)/r! |
Ω |
0.73891685631033 |
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 |
4368z1 17472u1 1638p1 13650cr1 |
Quadratic twists by: -4 8 -3 5 |