Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20100k |
Isogeny class |
Conductor |
20100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
3618000 = 24 · 33 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3013,-64672] |
[a1,a2,a3,a4,a6] |
Generators |
[4676:21279:64] |
Generators of the group modulo torsion |
j |
1512987164672/1809 |
j-invariant |
L |
6.4711093417648 |
L(r)(E,1)/r! |
Ω |
0.64437367839637 |
Real period |
R |
6.6949862155235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400cf1 60300s1 20100d1 |
Quadratic twists by: -4 -3 5 |