Atkin-Lehner |
2+ 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bj |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
105178500 = 22 · 34 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-241,1328] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-28:1] [-106:427:8] |
Generators of the group modulo torsion |
j |
12310389629/841428 |
j-invariant |
L |
8.3194098261751 |
L(r)(E,1)/r! |
Ω |
1.8481431307738 |
Real period |
R |
0.56268706192473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650cm1 |
Quadratic twists by: 5 |