Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890bu |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-140277799026670410 = -1 · 2 · 310 · 5 · 710 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,107595,-11866905] |
[a1,a2,a3,a4,a6] |
j |
668944031/681210 |
j-invariant |
L |
0.71069851123111 |
L(r)(E,1)/r! |
Ω |
0.17767433690466 |
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 |
42630dg1 127890ci1 |
Quadratic twists by: -3 -7 |