Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270j |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5563215000 = -1 · 23 · 33 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-189,3773] |
[a1,a2,a3,a4,a6] |
Generators |
[7:49:1] |
Generators of the group modulo torsion |
j |
-27735580683/206045000 |
j-invariant |
L |
4.0557240587547 |
L(r)(E,1)/r! |
Ω |
1.1622975653802 |
Real period |
R |
0.4361753155514 |
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 |
18270bg2 91350db2 127890j2 |
Quadratic twists by: -3 5 -7 |