Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ef |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1344059924580925440 = 218 · 3 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4041920,-3128583372] |
[a1,a2,a3,a4,a6] |
j |
1782900110862842086081/328139630024640 |
j-invariant |
L |
3.4072766111978 |
L(r)(E,1)/r! |
Ω |
0.10647739409996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570t4 114240gl4 85680el4 |
Quadratic twists by: -4 8 -3 |