Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350du |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
1.4117586777831E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-794388,-204260219] |
[a1,a2,a3,a4,a6] |
Generators |
[-629:7173:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
8.2285800401959 |
L(r)(E,1)/r! |
Ω |
0.1629168182651 |
Real period |
R |
1.0522470993533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000080621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350n1 6650o1 |
Quadratic twists by: 5 -19 |