Atkin-Lehner |
2- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496n |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
54710272 = 212 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3 -2 3 3 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136,-496] |
[a1,a2,a3,a4,a6] |
j |
67917312/13357 |
j-invariant |
L |
5.6688124379096 |
L(r)(E,1)/r! |
Ω |
1.4172031094774 |
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 |
22496d1 44992h1 |
Quadratic twists by: -4 8 |