Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006c |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-243116158976 = -1 · 212 · 172 · 593 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27425,-1750508] |
[a1,a2,a3,a4,a6] |
j |
-2281081786314874633/243116158976 |
j-invariant |
L |
0.74197967913496 |
L(r)(E,1)/r! |
Ω |
0.18549491978374 |
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 |
16048bc2 64192bd2 18054q2 50150z2 |
Quadratic twists by: -4 8 -3 5 |