Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4464i |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12298276002816 = 210 · 318 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8139,226730] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:630:1] |
Generators of the group modulo torsion |
j |
79874724388/16474671 |
j-invariant |
L |
4.2317176492305 |
L(r)(E,1)/r! |
Ω |
0.67423047890539 |
Real period |
R |
3.1381832931231 |
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 |
2232k3 17856cf3 1488c3 111600bh4 |
Quadratic twists by: -4 8 -3 5 |