Atkin-Lehner |
3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775bn |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-8319216796875 = -1 · 33 · 59 · 193 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 -3 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,542,-138506] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3562:1] |
Generators of the group modulo torsion |
j |
8998912/4259439 |
j-invariant |
L |
2.9583104276709 |
L(r)(E,1)/r! |
Ω |
0.34452931775513 |
Real period |
R |
0.47702930010698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325cn1 32775o1 |
Quadratic twists by: -3 5 |