Atkin-Lehner |
3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94809k |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
7779623886177 = 3 · 11 · 138 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 11- 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18678,-981102] |
[a1,a2,a3,a4,a6] |
Generators |
[17671672:458092125:24389] |
Generators of the group modulo torsion |
j |
149298747625/1611753 |
j-invariant |
L |
4.4374934674076 |
L(r)(E,1)/r! |
Ω |
0.40864866868518 |
Real period |
R |
10.858945102149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293a1 |
Quadratic twists by: 13 |