Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3825j |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-41098596075 = -1 · 39 · 52 · 174 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -2 7 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-975,15246] |
[a1,a2,a3,a4,a6] |
Generators |
[11:76:1] |
Generators of the group modulo torsion |
j |
-5624320000/2255067 |
j-invariant |
L |
1.8408932093753 |
L(r)(E,1)/r! |
Ω |
1.0752851263643 |
Real period |
R |
0.2140005897319 |
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 |
61200fj1 1275f1 3825n1 65025bu1 |
Quadratic twists by: -4 -3 5 17 |