Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cu |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-138692736000000 = -1 · 213 · 35 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43408,3541312] |
[a1,a2,a3,a4,a6] |
j |
-141339344329/2167074 |
j-invariant |
L |
1.1672389204622 |
L(r)(E,1)/r! |
Ω |
0.58361974402556 |
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 |
13650cr1 4368z1 |
Quadratic twists by: -4 5 |