Atkin-Lehner |
2+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91234k |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9916659923456 = -1 · 29 · 116 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 3 11- 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5200,46462] |
[a1,a2,a3,a4,a6] |
Generators |
[802:22407:1] |
Generators of the group modulo torsion |
j |
8780064047/5597696 |
j-invariant |
L |
4.7849570769324 |
L(r)(E,1)/r! |
Ω |
0.45146944410753 |
Real period |
R |
2.6496572185866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
754d1 |
Quadratic twists by: -11 |