Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200x |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1734000000000 = -1 · 210 · 3 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1992,-53988] |
[a1,a2,a3,a4,a6] |
j |
54607676/108375 |
j-invariant |
L |
0.87507487024214 |
L(r)(E,1)/r! |
Ω |
0.43753743512107 |
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 |
20400v1 81600cw1 30600v1 2040i1 |
Quadratic twists by: -4 8 -3 5 |