Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560df |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1156555812456038400 = 216 · 3 · 52 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1780016,912020820] |
[a1,a2,a3,a4,a6] |
Generators |
[749532:29629242:343] |
Generators of the group modulo torsion |
j |
152277495831664137649/282362258900400 |
j-invariant |
L |
5.9289322543363 |
L(r)(E,1)/r! |
Ω |
0.27455258170521 |
Real period |
R |
10.797444004191 |
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 |
3570s3 114240gs4 85680fh4 |
Quadratic twists by: -4 8 -3 |