Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650b |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
165766250000 = 24 · 57 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3401,-74052] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:67:1] |
Generators of the group modulo torsion |
j |
278317173889/10609040 |
j-invariant |
L |
2.8951980438525 |
L(r)(E,1)/r! |
Ω |
0.62665909913457 |
Real period |
R |
1.155013167736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130g1 |
Quadratic twists by: 5 |