Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710be |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1121958645972656250 = -1 · 2 · 3 · 59 · 117 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,245506,20142626] |
[a1,a2,a3,a4,a6] |
j |
923754305147471/633316406250 |
j-invariant |
L |
1.0410839777701 |
L(r)(E,1)/r! |
Ω |
0.17351399542477 |
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 |
5610bh2 |
Quadratic twists by: -11 |