Atkin-Lehner |
3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24453d |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.6006891115959E+21 |
Discriminant |
Eigenvalues |
1 3- -4 4 11+ 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37130544,-86948372511] |
[a1,a2,a3,a4,a6] |
Generators |
[-107248344:-168956781:29791] |
Generators of the group modulo torsion |
j |
7765870188603354972427009/13169669563231641603 |
j-invariant |
L |
4.7500894322988 |
L(r)(E,1)/r! |
Ω |
0.061166124340386 |
Real period |
R |
9.7073533012015 |
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 |
8151i2 |
Quadratic twists by: -3 |