Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bp |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9284294491822E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7979771,2733495293] |
[a1,a2,a3,a4,a6] |
Generators |
[-2156157:16922816:729] |
Generators of the group modulo torsion |
j |
31720417118313330889/16530220800650700 |
j-invariant |
L |
8.1696625569863 |
L(r)(E,1)/r! |
Ω |
0.10364714586797 |
Real period |
R |
9.8527345936193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290e4 |
Quadratic twists by: -11 |