Atkin-Lehner |
2- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84656o |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-95226486784 = -1 · 213 · 11 · 134 · 37 |
Discriminant |
Eigenvalues |
2- -2 -1 -2 11+ 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,864,-10892] |
[a1,a2,a3,a4,a6] |
Generators |
[18:104:1] |
Generators of the group modulo torsion |
j |
17394111071/23248654 |
j-invariant |
L |
2.0297777581876 |
L(r)(E,1)/r! |
Ω |
0.56940817037616 |
Real period |
R |
0.22279467747732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582k1 |
Quadratic twists by: -4 |