Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663l |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
14493140541 = 34 · 116 · 101 |
Discriminant |
Eigenvalues |
2 3- -1 2 11- -1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-766,-6011] |
[a1,a2,a3,a4,a6] |
Generators |
[298:1085:8] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
13.731990544781 |
L(r)(E,1)/r! |
Ω |
0.92762494122764 |
Real period |
R |
1.8504233142182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989r1 303b1 |
Quadratic twists by: -3 -11 |