Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352fc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-47989544610889728 = -1 · 216 · 310 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120972,-19322480] |
[a1,a2,a3,a4,a6] |
Generators |
[608:11484:1] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
4.4204618897704 |
L(r)(E,1)/r! |
Ω |
0.12636311436478 |
Real period |
R |
2.9151847514995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bc1 11088w1 14784cn1 |
Quadratic twists by: -4 8 -3 |