Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775be |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1597289625 = -1 · 34 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -3 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140228,20199897] |
[a1,a2,a3,a4,a6] |
Generators |
[217:-86:1] |
Generators of the group modulo torsion |
j |
-2439597123220149269/12778317 |
j-invariant |
L |
3.4888350451805 |
L(r)(E,1)/r! |
Ω |
1.0199251119804 |
Real period |
R |
0.42758470747008 |
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 |
98325cf1 32775l1 |
Quadratic twists by: -3 5 |