Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bb |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1007616 |
Modular degree for the optimal curve |
Δ |
792807305472 = 28 · 39 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1416015,648559602] |
[a1,a2,a3,a4,a6] |
Generators |
[5442:2457:8] |
Generators of the group modulo torsion |
j |
62315490249126000/157339 |
j-invariant |
L |
6.0479438559135 |
L(r)(E,1)/r! |
Ω |
0.58822369527822 |
Real period |
R |
1.2852134249723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998932633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488e1 |
Quadratic twists by: -3 |