Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050m |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
212809790715375000 = 23 · 3 · 56 · 712 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-192476,-23759902] |
[a1,a2,a3,a4,a6] |
j |
50469638798675377/13619826605784 |
j-invariant |
L |
1.8602900728868 |
L(r)(E,1)/r! |
Ω |
0.23253625912948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cv3 1722m3 |
Quadratic twists by: -3 5 |