Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36816j |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-452395008 = -1 · 216 · 32 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192,0] |
[a1,a2,a3,a4,a6] |
j |
190109375/110448 |
j-invariant |
L |
2.0090908486776 |
L(r)(E,1)/r! |
Ω |
1.0045454243495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602e1 110448bk1 |
Quadratic twists by: -4 -3 |