Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598y |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-24584650640316 = -1 · 22 · 39 · 135 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 3 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25465,-1592797] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1470:1] |
Generators of the group modulo torsion |
j |
-2171499950384521/29232640476 |
j-invariant |
L |
10.138837112165 |
L(r)(E,1)/r! |
Ω |
0.18881466149018 |
Real period |
R |
5.3697297828898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598m1 |
Quadratic twists by: 29 |