Atkin-Lehner |
2+ 3- 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534k |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-16549419744 = -1 · 25 · 36 · 113 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11+ 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,57,6173] |
[a1,a2,a3,a4,a6] |
Generators |
[10809:67906:729] |
Generators of the group modulo torsion |
j |
27818127/22701536 |
j-invariant |
L |
7.6257699339907 |
L(r)(E,1)/r! |
Ω |
0.96475869184936 |
Real period |
R |
7.9043288344524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726m1 |
Quadratic twists by: -3 |