Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dv |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-154224000000000000 = -1 · 216 · 34 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115600,-11281452] |
[a1,a2,a3,a4,a6] |
Generators |
[1906:84480:1] |
Generators of the group modulo torsion |
j |
41709358422320399/37652343750000 |
j-invariant |
L |
6.9707449147187 |
L(r)(E,1)/r! |
Ω |
0.17807136395009 |
Real period |
R |
3.2621494926198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570u4 114240fr3 85680du3 |
Quadratic twists by: -4 8 -3 |