Atkin-Lehner |
2+ 3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710u |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-1333235645153280 = -1 · 219 · 313 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66339,-6790635] |
[a1,a2,a3,a4,a6] |
Generators |
[2821940751:-214668622977:493039] |
Generators of the group modulo torsion |
j |
-44290096667854129/1828855480320 |
j-invariant |
L |
4.8426753450641 |
L(r)(E,1)/r! |
Ω |
0.14838093391644 |
Real period |
R |
16.318388142075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570y1 |
Quadratic twists by: -3 |