Atkin-Lehner |
2+ 3+ 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
105534c |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
2107302912 = 210 · 33 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444,-2736] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:27:1] |
Generators of the group modulo torsion |
j |
358970654043/78048256 |
j-invariant |
L |
2.3420923692919 |
L(r)(E,1)/r! |
Ω |
1.0560128355166 |
Real period |
R |
1.1089317649936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105534bb1 |
Quadratic twists by: -3 |