Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050cg |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
801360 |
Modular degree for the optimal curve |
Δ |
2811954631780000 = 25 · 54 · 78 · 293 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 4 0 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122730,-16320503] |
[a1,a2,a3,a4,a6] |
j |
56742473025/780448 |
j-invariant |
L |
11.487783062116 |
L(r)(E,1)/r! |
Ω |
0.25528406821196 |
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 |
71050i1 71050co1 |
Quadratic twists by: 5 -7 |