Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688du |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
344555422482432 = 220 · 3 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30200,-1821996] |
[a1,a2,a3,a4,a6] |
Generators |
[-2004:3430:27] |
Generators of the group modulo torsion |
j |
6321363049/715008 |
j-invariant |
L |
4.9210027077227 |
L(r)(E,1)/r! |
Ω |
0.36482208123871 |
Real period |
R |
3.3721935710408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586f1 6384s1 |
Quadratic twists by: -4 -7 |