Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bm |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
2.0709409707988E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-354248678,2471124782648] |
[a1,a2,a3,a4,a6] |
j |
1018563973439611524445729/42904970360310988800 |
j-invariant |
L |
4.0151687719507 |
L(r)(E,1)/r! |
Ω |
0.055766231408104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630w1 |
Quadratic twists by: 13 |