Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882p |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17478720 |
Modular degree for the optimal curve |
Δ |
-8.3160965038335E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -6 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,208867086,758445706932] |
[a1,a2,a3,a4,a6] |
j |
144458253878541513047/119214244104241152 |
j-invariant |
L |
0.38905323019591 |
L(r)(E,1)/r! |
Ω |
0.032421102517825 |
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 |
119646cz1 39882x1 |
Quadratic twists by: -3 17 |