Atkin-Lehner |
3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775bj |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
491625 = 32 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 0 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41,-97] |
[a1,a2,a3,a4,a6] |
j |
58863869/3933 |
j-invariant |
L |
1.9002017470576 |
L(r)(E,1)/r! |
Ω |
1.9002017470664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325by1 32775j1 |
Quadratic twists by: -3 5 |