Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32436m |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
3980311099967232 = 28 · 37 · 17 · 535 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 2 -7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3250767,-2255934490] |
[a1,a2,a3,a4,a6] |
Generators |
[-130130:5618:125] |
Generators of the group modulo torsion |
j |
20356998547418647504/21327970143 |
j-invariant |
L |
3.0561885619589 |
L(r)(E,1)/r! |
Ω |
0.11243541348969 |
Real period |
R |
2.7181725642331 |
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 |
129744ce1 10812c1 |
Quadratic twists by: -4 -3 |