Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950a |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-797500000000 = -1 · 28 · 510 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3167,81741] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:243:1] [14:193:1] |
Generators of the group modulo torsion |
j |
-224866629441/51040000 |
j-invariant |
L |
4.7155401176509 |
L(r)(E,1)/r! |
Ω |
0.85460283467052 |
Real period |
R |
2.7589073698016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600bb1 3190d1 |
Quadratic twists by: -4 5 |