Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350x |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2004009536200000000 = -1 · 29 · 58 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -6 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-193575,75507125] |
[a1,a2,a3,a4,a6] |
Generators |
[185:6695:1] |
Generators of the group modulo torsion |
j |
-17455277065/43606528 |
j-invariant |
L |
5.9502667905649 |
L(r)(E,1)/r! |
Ω |
0.23177503161145 |
Real period |
R |
4.2787660296203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350br2 8050m2 |
Quadratic twists by: 5 -7 |