Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912i |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-810525201408 = -1 · 210 · 36 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1629,-35154] |
[a1,a2,a3,a4,a6] |
Generators |
[34:244:1] |
Generators of the group modulo torsion |
j |
640412028/1085773 |
j-invariant |
L |
3.9070192542418 |
L(r)(E,1)/r! |
Ω |
0.46989741712454 |
Real period |
R |
4.1573108425985 |
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 |
31824o3 127296d3 1768e4 |
Quadratic twists by: -4 8 -3 |