Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ef |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
3427844313600000000 = 215 · 38 · 58 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27881280,56655935028] |
[a1,a2,a3,a4,a6] |
j |
585196747116290735872321/836876053125000 |
j-invariant |
L |
3.4072766111978 |
L(r)(E,1)/r! |
Ω |
0.21295478819992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
3570t5 114240gl6 85680el6 |
Quadratic twists by: -4 8 -3 |