Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352b |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-58758006528 = -1 · 28 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,972,0] |
[a1,a2,a3,a4,a6] |
j |
396310574000/229523463 |
j-invariant |
L |
1.3331319047746 |
L(r)(E,1)/r! |
Ω |
0.66656595238732 |
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 |
7176m1 57408dq1 43056a1 |
Quadratic twists by: -4 8 -3 |