Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ec |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-622182400 = -1 · 214 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,-1425] |
[a1,a2,a3,a4,a6] |
Generators |
[29:140:1] |
Generators of the group modulo torsion |
j |
-20720464/37975 |
j-invariant |
L |
5.0792502593772 |
L(r)(E,1)/r! |
Ω |
0.64809143042951 |
Real period |
R |
1.9593108394871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440be1 17360g1 |
Quadratic twists by: -4 8 |