Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850b |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11943936 |
Modular degree for the optimal curve |
Δ |
-1.645207975E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,941833,195149435741] |
[a1,a2,a3,a4,a6] |
j |
5913234966832125759/1052933104000000000000 |
j-invariant |
L |
0.22029752293681 |
L(r)(E,1)/r! |
Ω |
0.055074380577557 |
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 |
14570j1 |
Quadratic twists by: 5 |