Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040bx |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5268480 |
Modular degree for the optimal curve |
Δ |
-2.8234613221549E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1643199,25552880415] |
[a1,a2,a3,a4,a6] |
j |
649381163998/373669453125 |
j-invariant |
L |
2.1279778645989 |
L(r)(E,1)/r! |
Ω |
0.07599920944399 |
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 |
47040dv1 5880v1 47040bf1 |
Quadratic twists by: -4 8 -7 |