Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3825k |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-395026875 = -1 · 37 · 54 · 172 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,150,-644] |
[a1,a2,a3,a4,a6] |
Generators |
[16:76:1] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
2.8227233026376 |
L(r)(E,1)/r! |
Ω |
0.91382777948674 |
Real period |
R |
0.38611259227408 |
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 |
61200gk1 1275c1 3825f1 65025cc1 |
Quadratic twists by: -4 -3 5 17 |