Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cw |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3761756787962880000 = 213 · 32 · 54 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864760,-294832400] |
[a1,a2,a3,a4,a6] |
j |
17460273607244690041/918397653311250 |
j-invariant |
L |
2.5131260729353 |
L(r)(E,1)/r! |
Ω |
0.1570703795585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570q2 114240iu2 85680dw2 |
Quadratic twists by: -4 8 -3 |