Atkin-Lehner |
3- 5- 31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
93465i |
Isogeny class |
Conductor |
93465 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
169923575925 = 36 · 52 · 31 · 673 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -4 -3 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4197,-102758] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:33:1] |
Generators of the group modulo torsion |
j |
11215356719104/233091325 |
j-invariant |
L |
2.2150948052134 |
L(r)(E,1)/r! |
Ω |
0.5939004356368 |
Real period |
R |
0.62162349863382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10385b1 |
Quadratic twists by: -3 |