Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296bq |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1490471707825152 = 210 · 318 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36336,-1912376] |
[a1,a2,a3,a4,a6] |
j |
7107347955712/1996623837 |
j-invariant |
L |
1.4125934567316 |
L(r)(E,1)/r! |
Ω |
0.35314853119545 |
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 |
127296ds1 7956c1 42432y1 |
Quadratic twists by: -4 8 -3 |