Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775y |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-8296171875 = -1 · 35 · 57 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 1 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,117,4394] |
[a1,a2,a3,a4,a6] |
Generators |
[18:112:1] |
Generators of the group modulo torsion |
j |
11239424/530955 |
j-invariant |
L |
3.8642730245995 |
L(r)(E,1)/r! |
Ω |
0.9934850634846 |
Real period |
R |
0.194480680517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325z1 6555g1 |
Quadratic twists by: -3 5 |