Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256x |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1510250329765951488 = 211 · 37 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1856019,-971446322] |
[a1,a2,a3,a4,a6] |
j |
267335955794/570999 |
j-invariant |
L |
4.139611758432 |
L(r)(E,1)/r! |
Ω |
0.12936288183259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752x4 10296j4 |
Quadratic twists by: -3 -11 |