Atkin-Lehner |
2- 3- 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bn |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9100926652608 = 26 · 310 · 74 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3081299,-2081076685] |
[a1,a2,a3,a4,a6] |
Generators |
[3543:175618:1] |
Generators of the group modulo torsion |
j |
4438105079440083578857/12484124352 |
j-invariant |
L |
14.502226200651 |
L(r)(E,1)/r! |
Ω |
0.11395046585535 |
Real period |
R |
5.3028254241379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42126j4 |
Quadratic twists by: -3 |