Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912dc |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
56074512745488384 = 213 · 32 · 77 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-542544,153212436] |
[a1,a2,a3,a4,a6] |
Generators |
[884:19110:1] |
Generators of the group modulo torsion |
j |
36650611029313/116363646 |
j-invariant |
L |
5.6868453708259 |
L(r)(E,1)/r! |
Ω |
0.35444907163802 |
Real period |
R |
4.0110454684124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000913 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9114t3 10416y3 |
Quadratic twists by: -4 -7 |