Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bw |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3814492002048 = 28 · 32 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308988,66212028] |
[a1,a2,a3,a4,a6] |
Generators |
[309:378:1] |
Generators of the group modulo torsion |
j |
2640279346000/3087 |
j-invariant |
L |
4.5013494823147 |
L(r)(E,1)/r! |
Ω |
0.66283294697137 |
Real period |
R |
2.2636922837079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196h4 336a4 |
Quadratic twists by: -4 13 |