Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304di |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.028247491619E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5180737,14366266655] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:121680:1] |
Generators of the group modulo torsion |
j |
-997241325462146/5206220835543 |
j-invariant |
L |
8.7988216525231 |
L(r)(E,1)/r! |
Ω |
0.09386878126703 |
Real period |
R |
1.9528194721778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fh3 15288y4 17472p4 |
Quadratic twists by: -4 8 -7 |