Atkin-Lehner |
2- 3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
113544f |
Isogeny class |
Conductor |
113544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
300160 |
Modular degree for the optimal curve |
Δ |
-512810641177344 = -1 · 28 · 33 · 197 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,-1089180] |
[a1,a2,a3,a4,a6] |
j |
80848475136/74191354337 |
j-invariant |
L |
0.97359349733778 |
L(r)(E,1)/r! |
Ω |
0.24339839310464 |
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 |
113544a1 |
Quadratic twists by: -3 |