Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195f |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-164907595458984375 = -1 · 312 · 512 · 31 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126855,-8937104] |
[a1,a2,a3,a4,a6] |
j |
309682758638144879/226210693359375 |
j-invariant |
L |
3.2601312683161 |
L(r)(E,1)/r! |
Ω |
0.18111840387804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065e1 |
Quadratic twists by: -3 |