Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775bh |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
106080 |
Modular degree for the optimal curve |
Δ |
16127758125 = 310 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51058,-4457681] |
[a1,a2,a3,a4,a6] |
Generators |
[-1046:11:8] |
Generators of the group modulo torsion |
j |
23552857127219200/25804413 |
j-invariant |
L |
14.506479272687 |
L(r)(E,1)/r! |
Ω |
0.31760177772519 |
Real period |
R |
1.522501897039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325ci1 32775d1 |
Quadratic twists by: -3 5 |