Atkin-Lehner |
2- 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111936h |
Isogeny class |
Conductor |
111936 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2375680 |
Modular degree for the optimal curve |
Δ |
-1.994137943627E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-248909,-220185789] |
[a1,a2,a3,a4,a6] |
Generators |
[1375:45156:1] |
Generators of the group modulo torsion |
j |
-1665510213736081408/19474003355732739 |
j-invariant |
L |
5.5878062012802 |
L(r)(E,1)/r! |
Ω |
0.092173478272662 |
Real period |
R |
3.7889194936225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111936c1 27984b1 |
Quadratic twists by: -4 8 |