Atkin-Lehner |
2- 3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10626n |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
-2722801160772 = -1 · 22 · 33 · 77 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ -1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1266,-81789] |
[a1,a2,a3,a4,a6] |
j |
-224412099736609/2722801160772 |
j-invariant |
L |
4.8217135505169 |
L(r)(E,1)/r! |
Ω |
0.34440811075121 |
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 |
85008cb1 31878p1 74382br1 116886d1 |
Quadratic twists by: -4 -3 -7 -11 |