Atkin-Lehner |
2- 3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bm |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-11960611146000 = -1 · 24 · 313 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -1 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5514,55683] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1053:1] |
Generators of the group modulo torsion |
j |
153226437528791/98848026000 |
j-invariant |
L |
7.8649782071051 |
L(r)(E,1)/r! |
Ω |
0.44556982471142 |
Real period |
R |
4.4128763672945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530c1 |
Quadratic twists by: -11 |