Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990l |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-607556844950 = -1 · 2 · 52 · 116 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-336383,75064768] |
[a1,a2,a3,a4,a6] |
Generators |
[9048:-4235:27] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
5.1478339048955 |
L(r)(E,1)/r! |
Ω |
0.71490812437285 |
Real period |
R |
1.800173242335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950ch2 190c2 |
Quadratic twists by: 5 -11 |