Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688cg |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2199641817127845888 = -1 · 224 · 32 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,254392,-51590160] |
[a1,a2,a3,a4,a6] |
j |
11015140625/13307904 |
j-invariant |
L |
1.116131744123 |
L(r)(E,1)/r! |
Ω |
0.13951646801037 |
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 |
5586q1 44688cp1 |
Quadratic twists by: -4 -7 |