Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712bb |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-17968398336 = -1 · 224 · 32 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,-6444] |
[a1,a2,a3,a4,a6] |
Generators |
[27:120:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
4.18625693482 |
L(r)(E,1)/r! |
Ω |
0.56552859261187 |
Real period |
R |
3.7011894619562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714f1 22848ci1 17136bl1 39984bs1 |
Quadratic twists by: -4 8 -3 -7 |