Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890be |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-9224617169554290 = -1 · 2 · 38 · 5 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9832545,11869625655] |
[a1,a2,a3,a4,a6] |
Generators |
[1893:5169:1] |
Generators of the group modulo torsion |
j |
-25015530459696721/2195010 |
j-invariant |
L |
5.1645163408042 |
L(r)(E,1)/r! |
Ω |
0.31421545529278 |
Real period |
R |
4.1090566001625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999593934 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42630dd2 127890de2 |
Quadratic twists by: -3 -7 |