Atkin-Lehner |
11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91333a |
Isogeny class |
Conductor |
91333 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47265255943103 = 112 · 198 · 23 |
Discriminant |
Eigenvalues |
1 -2 2 -4 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45855,3761063] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1799:1] |
Generators of the group modulo torsion |
j |
226646274673/1004663 |
j-invariant |
L |
2.8772474011628 |
L(r)(E,1)/r! |
Ω |
0.6400486630817 |
Real period |
R |
2.2476786272148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4807a2 |
Quadratic twists by: -19 |