Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050ch |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
327107993625000 = 23 · 33 · 56 · 7 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-203538,-35350308] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:204:1] |
Generators of the group modulo torsion |
j |
59681582152007257/20934911592 |
j-invariant |
L |
12.34883546301 |
L(r)(E,1)/r! |
Ω |
0.22477463977357 |
Real period |
R |
1.5260761074011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2562c3 |
Quadratic twists by: 5 |