Atkin-Lehner |
2- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
71744l |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-697925632 = -1 · 215 · 192 · 59 |
Discriminant |
Eigenvalues |
2- -2 4 1 1 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641,-6593] |
[a1,a2,a3,a4,a6] |
j |
-890277128/21299 |
j-invariant |
L |
3.7894346056866 |
L(r)(E,1)/r! |
Ω |
0.4736793294676 |
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 |
71744g1 35872b1 |
Quadratic twists by: -4 8 |