Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600r |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
67868795987200 = 28 · 52 · 139 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16900,-746980] |
[a1,a2,a3,a4,a6] |
Generators |
[-737256:709631:13824] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
10.792403918879 |
L(r)(E,1)/r! |
Ω |
0.42222629692364 |
Real period |
R |
6.3901774938871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33800l1 67600bd1 5200g1 |
Quadratic twists by: -4 5 13 |