Atkin-Lehner |
2- 3+ 5- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
43260a |
Isogeny class |
Conductor |
43260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
363452316192000 = 28 · 38 · 53 · 75 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 7 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29085,-1664775] |
[a1,a2,a3,a4,a6] |
j |
10629329818771456/1419735610125 |
j-invariant |
L |
2.2128460449119 |
L(r)(E,1)/r! |
Ω |
0.36880767415932 |
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 |
129780i1 |
Quadratic twists by: -3 |