Atkin-Lehner |
2- 3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550br |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7802088750000 = -1 · 24 · 33 · 57 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4787,44531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:412:1] |
Generators of the group modulo torsion |
j |
776404954871/499333680 |
j-invariant |
L |
8.6275442971868 |
L(r)(E,1)/r! |
Ω |
0.46142950902502 |
Real period |
R |
2.3371783037748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110n1 |
Quadratic twists by: 5 |