Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
24850bf |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
750 |
Product of Tamagawa factors cp |
deg |
456000 |
Modular degree for the optimal curve |
Δ |
2.5230458967032E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-749410,63026017] |
[a1,a2,a3,a4,a6] |
Generators |
[889:-10385:1] |
Generators of the group modulo torsion |
j |
372367361659607324037/201843671736254464 |
j-invariant |
L |
7.6670760984269 |
L(r)(E,1)/r! |
Ω |
0.18510060384028 |
Real period |
R |
0.055228172783579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850l1 |
Quadratic twists by: 5 |