Atkin-Lehner |
3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55473h |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1230768 |
Modular degree for the optimal curve |
Δ |
-70212327960832299 = -1 · 322 · 113 · 412 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-281656,-58836012] |
[a1,a2,a3,a4,a6] |
j |
-1469990616218374144/41768190339579 |
j-invariant |
L |
0.62067391980966 |
L(r)(E,1)/r! |
Ω |
0.10344565319191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55473r1 |
Quadratic twists by: 41 |