Atkin-Lehner |
3+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18249c |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
5902328817 = 36 · 7 · 114 · 79 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8439,294852] |
[a1,a2,a3,a4,a6] |
j |
66466052950124017/5902328817 |
j-invariant |
L |
0.64360458973885 |
L(r)(E,1)/r! |
Ω |
1.2872091794777 |
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 |
54747c1 127743bh1 |
Quadratic twists by: -3 -7 |