Atkin-Lehner |
3+ 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025c |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
14396795841515625 = 38 · 56 · 192 · 733 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-189788,-31374844] |
[a1,a2,a3,a4,a6] |
Generators |
[-244:815:1] [-1850:4621:8] |
Generators of the group modulo torsion |
j |
48384925503006457/921394933857 |
j-invariant |
L |
6.516776618885 |
L(r)(E,1)/r! |
Ω |
0.22899956868627 |
Real period |
R |
4.742932236396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000349 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161d1 |
Quadratic twists by: 5 |