Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bk |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-252359928576 = -1 · 28 · 32 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -4 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,21393] |
[a1,a2,a3,a4,a6] |
Generators |
[33:294:1] [49:426:1] |
Generators of the group modulo torsion |
j |
57344/171 |
j-invariant |
L |
8.2533217879851 |
L(r)(E,1)/r! |
Ω |
0.69384890693779 |
Real period |
R |
0.99124868366649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11172m1 44688df1 |
Quadratic twists by: -4 -7 |