Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464j |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-23141376 = -1 · 210 · 36 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-70] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
48668/31 |
j-invariant |
L |
3.3657804947155 |
L(r)(E,1)/r! |
Ω |
1.2260139739068 |
Real period |
R |
1.3726517667618 |
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 |
2232c1 17856cd1 496c1 111600bg1 |
Quadratic twists by: -4 8 -3 5 |