Atkin-Lehner |
2- 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870j |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1493022928589500 = -1 · 22 · 53 · 710 · 11 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16324,1678156] |
[a1,a2,a3,a4,a6] |
j |
481062836443033151/1493022928589500 |
j-invariant |
L |
0.6740981979785 |
L(r)(E,1)/r! |
Ω |
0.3370490989893 |
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 |
119350j1 |
Quadratic twists by: 5 |