Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585m |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217600 |
Modular degree for the optimal curve |
Δ |
1520393571013410765 = 311 · 5 · 74 · 595 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 3 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-475842,111545815] |
[a1,a2,a3,a4,a6] |
j |
16344984025413812224/2085587888907285 |
j-invariant |
L |
2.0684764092963 |
L(r)(E,1)/r! |
Ω |
0.25855955116204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6195a1 92925g1 |
Quadratic twists by: -3 5 |