Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890w |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
54230553612900 = 22 · 33 · 52 · 77 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-523329,-145585847] |
[a1,a2,a3,a4,a6] |
j |
4989954429855387/17072300 |
j-invariant |
L |
2.1300368609067 |
L(r)(E,1)/r! |
Ω |
0.17750308460882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890dh3 18270c1 |
Quadratic twists by: -3 -7 |