Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cm |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
348031317948171264 = 210 · 312 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5959031,-5597452209] |
[a1,a2,a3,a4,a6] |
Generators |
[-1413:798:1] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
7.2949095559973 |
L(r)(E,1)/r! |
Ω |
0.096628677740164 |
Real period |
R |
3.7747125007807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13794f2 342f2 |
Quadratic twists by: -3 -11 |