Atkin-Lehner |
2+ 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890ci |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1192341618090 = -1 · 2 · 310 · 5 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2196,33970] |
[a1,a2,a3,a4,a6] |
j |
668944031/681210 |
j-invariant |
L |
2.2843859705792 |
L(r)(E,1)/r! |
Ω |
0.57109689299138 |
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 |
42630by1 127890bu1 |
Quadratic twists by: -3 -7 |