Atkin-Lehner |
2- 5+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950w |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1507968 |
Modular degree for the optimal curve |
Δ |
25246473636718750 = 2 · 59 · 137 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3470463,-2488729333] |
[a1,a2,a3,a4,a6] |
j |
295846168874848406569/1615774312750 |
j-invariant |
L |
1.7697944270106 |
L(r)(E,1)/r! |
Ω |
0.11061215198257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390b1 |
Quadratic twists by: 5 |