Atkin-Lehner |
3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10575f |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1330434966796875 = -1 · 38 · 59 · 473 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 6 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18300,1996906] |
[a1,a2,a3,a4,a6] |
j |
-59501707264/116800875 |
j-invariant |
L |
1.7185489195927 |
L(r)(E,1)/r! |
Ω |
0.42963722989819 |
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 |
3525f2 2115k2 |
Quadratic twists by: -3 5 |