Atkin-Lehner |
3+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249c |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19664852333049 = 312 · 72 · 112 · 792 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9044,249356] |
[a1,a2,a3,a4,a6] |
j |
81810373310680897/19664852333049 |
j-invariant |
L |
0.64360458973885 |
L(r)(E,1)/r! |
Ω |
0.64360458973885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54747c2 127743bh2 |
Quadratic twists by: -3 -7 |