Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816h |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
895954176 = 28 · 33 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:39:1] |
Generators of the group modulo torsion |
j |
6072054784/3499821 |
j-invariant |
L |
6.6396243939912 |
L(r)(E,1)/r! |
Ω |
1.3420139806956 |
Real period |
R |
0.54972306875246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18408d1 110448u1 |
Quadratic twists by: -4 -3 |