Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bw |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6305588819712 = 28 · 36 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4788,42444] |
[a1,a2,a3,a4,a6] |
Generators |
[-15813:138510:343] |
Generators of the group modulo torsion |
j |
9826000/5103 |
j-invariant |
L |
4.5013494823147 |
L(r)(E,1)/r! |
Ω |
0.66283294697137 |
Real period |
R |
6.7910768511236 |
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 |
14196h2 336a2 |
Quadratic twists by: -4 13 |