Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cw |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-2143975265235648 = -1 · 26 · 35 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95203,-11555569] |
[a1,a2,a3,a4,a6] |
Generators |
[2035594:77864643:1331] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
7.4106139991766 |
L(r)(E,1)/r! |
Ω |
0.13571543473637 |
Real period |
R |
10.920812380069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448bv1 16224a1 97344el1 32448cv1 |
Quadratic twists by: -4 8 -3 13 |