Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bs |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-2.7817637145858E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6335,-802448353] |
[a1,a2,a3,a4,a6] |
j |
107239576751/1061158643564544 |
j-invariant |
L |
3.1891994185155 |
L(r)(E,1)/r! |
Ω |
0.079730003064129 |
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 |
111552by1 3486i1 |
Quadratic twists by: -4 8 |