Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3536j |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
870629507072 = 220 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 0 -4 2 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2747,32490] |
[a1,a2,a3,a4,a6] |
Generators |
[71:442:1] |
Generators of the group modulo torsion |
j |
559679941521/212556032 |
j-invariant |
L |
2.8214850028165 |
L(r)(E,1)/r! |
Ω |
0.81045306639309 |
Real period |
R |
0.58022792431677 |
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 |
442b1 14144ba1 31824y1 88400bg1 |
Quadratic twists by: -4 8 -3 5 |