Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
36108d |
Isogeny class |
Conductor |
36108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-15161893632 = -1 · 28 · 310 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -1 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,456,-4588] |
[a1,a2,a3,a4,a6] |
j |
56188928/81243 |
j-invariant |
L |
1.3209654251107 |
L(r)(E,1)/r! |
Ω |
0.66048271255318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12036a1 |
Quadratic twists by: -3 |