Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cf |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
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 |
[8736:21160:343] |
Generators of the group modulo torsion |
j |
1512987164672/1809 |
j-invariant |
L |
6.064032421458 |
L(r)(E,1)/r! |
Ω |
2.1069543244629 |
Real period |
R |
5.7562068164327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20100k1 80400dp1 |
Quadratic twists by: -4 5 |