Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424o |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.9297023683357E+20 |
Discriminant |
Eigenvalues |
2- 2 0 1 -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4894648,4115722608] |
[a1,a2,a3,a4,a6] |
Generators |
[-57870:9907626:125] |
Generators of the group modulo torsion |
j |
3166126388361017133625/47111874226946048 |
j-invariant |
L |
7.4035901365578 |
L(r)(E,1)/r! |
Ω |
0.17954471127171 |
Real period |
R |
10.308839068718 |
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 |
2678h3 85696bp3 |
Quadratic twists by: -4 8 |