Atkin-Lehner |
3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96195x |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
2402400 |
Modular degree for the optimal curve |
Δ |
-215681877218671875 = -1 · 35 · 57 · 118 · 53 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11- 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-683690,-218961319] |
[a1,a2,a3,a4,a6] |
Generators |
[11210:317621:8] |
Generators of the group modulo torsion |
j |
-164877179416576/1006171875 |
j-invariant |
L |
18.210324706955 |
L(r)(E,1)/r! |
Ω |
0.082984368142842 |
Real period |
R |
2.0899317241965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96195y1 |
Quadratic twists by: -11 |