Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3825n |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-642165563671875 = -1 · 39 · 58 · 174 |
Discriminant |
Eigenvalues |
2 3- 5- 1 -2 -7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24375,1905781] |
[a1,a2,a3,a4,a6] |
Generators |
[338:7799:8] |
Generators of the group modulo torsion |
j |
-5624320000/2255067 |
j-invariant |
L |
6.5924853773971 |
L(r)(E,1)/r! |
Ω |
0.48088212754903 |
Real period |
R |
1.7136437912025 |
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 |
61200gn1 1275d1 3825j1 65025ch1 |
Quadratic twists by: -4 -3 5 17 |