Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10164k |
Isogeny class |
Conductor |
10164 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-862782491927664 = -1 · 24 · 33 · 7 · 1111 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1654,-1413531] |
[a1,a2,a3,a4,a6] |
j |
17643776/30438639 |
j-invariant |
L |
0.92939134598751 |
L(r)(E,1)/r! |
Ω |
0.23234783649688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656cj1 30492bc1 71148by1 924b1 |
Quadratic twists by: -4 -3 -7 -11 |