Atkin-Lehner |
2+ 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090u |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
-952969204900823040 = -1 · 226 · 36 · 5 · 72 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97494,48431348] |
[a1,a2,a3,a4,a6] |
Generators |
[73:6421:1] |
Generators of the group modulo torsion |
j |
-140582854299130209/1307227990261760 |
j-invariant |
L |
4.0604941090135 |
L(r)(E,1)/r! |
Ω |
0.23818509056934 |
Real period |
R |
4.26191045303 |
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 |
3010d1 |
Quadratic twists by: -3 |