Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739r |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-377260919739 = -1 · 36 · 11 · 196 |
Discriminant |
Eigenvalues |
-2 3- -1 -2 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25408263,-49295874780] |
[a1,a2,a3,a4,a6] |
Generators |
[3035419210850598:-133708442620179213:448399762264] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
1.6218875000128 |
L(r)(E,1)/r! |
Ω |
0.033622175828126 |
Real period |
R |
24.119312032389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971b3 99d3 |
Quadratic twists by: -3 -19 |