Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400j |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-8595784800000000 = -1 · 211 · 37 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42208,-5557088] |
[a1,a2,a3,a4,a6] |
j |
-10395091970/10744731 |
j-invariant |
L |
0.31986665910176 |
L(r)(E,1)/r! |
Ω |
0.15993332955088 |
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 |
10200bk1 81600jd1 61200cn1 20400ba1 |
Quadratic twists by: -4 8 -3 5 |