Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bk |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166763520 |
Modular degree for the optimal curve |
Δ |
-1.3719483632144E+30 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -5 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1311595208,-59245449411088] |
[a1,a2,a3,a4,a6] |
j |
-6238255884831248959825/34298709080358780928 |
j-invariant |
L |
1.127077369463 |
L(r)(E,1)/r! |
Ω |
0.011270771686214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350e1 98800cy1 |
Quadratic twists by: -4 5 |