Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600n |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-45879306087347200 = -1 · 210 · 52 · 1311 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 1 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45912,9569312] |
[a1,a2,a3,a4,a6] |
Generators |
[-26799806:237684642:205379] |
Generators of the group modulo torsion |
j |
86614940/371293 |
j-invariant |
L |
10.979077119578 |
L(r)(E,1)/r! |
Ω |
0.25670951360527 |
Real period |
R |
10.692121383819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800i1 67600bb1 5200d1 |
Quadratic twists by: -4 5 13 |