Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12276f |
Isogeny class |
Conductor |
12276 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
953165351584512 = 28 · 37 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134391,18904574] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:6138:1] |
Generators of the group modulo torsion |
j |
1438357277593168/5107410363 |
j-invariant |
L |
4.0188798145903 |
L(r)(E,1)/r! |
Ω |
0.4979821794985 |
Real period |
R |
1.3450547630163 |
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 |
49104bf2 4092c2 |
Quadratic twists by: -4 -3 |