Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573q |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326144 |
Modular degree for the optimal curve |
Δ |
112072298881851 = 36 · 73 · 117 · 23 |
Discriminant |
Eigenvalues |
1 3- 3 7- 11+ -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12903,-239338] |
[a1,a2,a3,a4,a6] |
Generators |
[950556:21306629:1728] |
Generators of the group modulo torsion |
j |
950152003191/448204933 |
j-invariant |
L |
9.7625144285275 |
L(r)(E,1)/r! |
Ω |
0.46905376887298 |
Real period |
R |
10.406604853674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999722942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397q1 111573r1 |
Quadratic twists by: -3 -7 |