Atkin-Lehner |
2+ 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18696d |
Isogeny class |
Conductor |
18696 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-5871831713473536 = -1 · 210 · 318 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123784,-17204704] |
[a1,a2,a3,a4,a6] |
j |
-204842846211215908/5734210657689 |
j-invariant |
L |
2.286961203656 |
L(r)(E,1)/r! |
Ω |
0.12705340020311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37392a2 56088j2 |
Quadratic twists by: -4 -3 |