Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bd |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1800926395136 = -1 · 28 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 0 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645,-65089] |
[a1,a2,a3,a4,a6] |
j |
-65536/3971 |
j-invariant |
L |
2.9412938220935 |
L(r)(E,1)/r! |
Ω |
0.36766172776131 |
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 |
9196d1 3344h1 |
Quadratic twists by: -4 -11 |