Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dp |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
261502408295955792 = 24 · 310 · 79 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-756429,-252275598] |
[a1,a2,a3,a4,a6] |
Generators |
[11874:1290366:1] |
Generators of the group modulo torsion |
j |
74135539941376/405017091 |
j-invariant |
L |
6.762348470533 |
L(r)(E,1)/r! |
Ω |
0.16193857647465 |
Real period |
R |
2.7839149953235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172g1 44688bz1 |
Quadratic twists by: -4 -7 |