Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825a |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
183462890625 = 33 · 59 · 72 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13692,-612909] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1413:1] |
Generators of the group modulo torsion |
j |
672912250947/434875 |
j-invariant |
L |
3.7431620136359 |
L(r)(E,1)/r! |
Ω |
0.44136530614918 |
Real period |
R |
2.1202176337812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825b1 22365a1 |
Quadratic twists by: -3 5 |