Atkin-Lehner |
3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825r |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1077120 |
Modular degree for the optimal curve |
Δ |
-908307037157065875 = -1 · 36 · 53 · 711 · 712 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -3 -1 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-305940,-79654869] |
[a1,a2,a3,a4,a6] |
j |
-34753212658221056/9967704111463 |
j-invariant |
L |
1.6002287126686 |
L(r)(E,1)/r! |
Ω |
0.10001431823806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12425g1 111825u1 |
Quadratic twists by: -3 5 |