Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200r |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6.0733361379175E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-392963675,-2974774655750] |
[a1,a2,a3,a4,a6] |
Generators |
[-12261:11438:1] |
Generators of the group modulo torsion |
j |
419431409113242476158884/3795835086198466115 |
j-invariant |
L |
5.1910662961465 |
L(r)(E,1)/r! |
Ω |
0.033927248235615 |
Real period |
R |
4.2501615515762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26600s3 10640f4 |
Quadratic twists by: -4 5 |