Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808ce |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
6326375700672 = 26 · 315 · 832 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235947,44113160] |
[a1,a2,a3,a4,a6] |
j |
31135768473180736/135596187 |
j-invariant |
L |
0.66372878479026 |
L(r)(E,1)/r! |
Ω |
0.66372878534085 |
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 |
47808bs1 23904g2 15936r1 |
Quadratic twists by: -4 8 -3 |