Atkin-Lehner |
2- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950p |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
5213537421875000 = 23 · 510 · 175 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -3 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43555,-404053] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:880:1] |
Generators of the group modulo torsion |
j |
935682215625/533866232 |
j-invariant |
L |
8.1083293141746 |
L(r)(E,1)/r! |
Ω |
0.35765514418707 |
Real period |
R |
1.511386866363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950i1 |
Quadratic twists by: 5 |