Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
539660620800 = 210 · 311 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138801603,-629418981998] |
[a1,a2,a3,a4,a6] |
Generators |
[123075835867388302:-633386066394288402:9039207516191] |
Generators of the group modulo torsion |
j |
396168254899399897286404/722925 |
j-invariant |
L |
5.0518887065407 |
L(r)(E,1)/r! |
Ω |
0.043984629110341 |
Real period |
R |
28.71394401525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bn4 28560bz4 |
Quadratic twists by: -4 -3 |