Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1040g |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
106496000 = 216 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 4 6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-520,-4368] |
[a1,a2,a3,a4,a6] |
j |
3803721481/26000 |
j-invariant |
L |
3.0000554918468 |
L(r)(E,1)/r! |
Ω |
1.0000184972823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
130a1 4160n1 9360br1 5200s1 |
Quadratic twists by: -4 8 -3 5 |