Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bw |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-102173892912 = -1 · 24 · 33 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1127,4588] |
[a1,a2,a3,a4,a6] |
Generators |
[618:5915:8] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
4.5013494823147 |
L(r)(E,1)/r! |
Ω |
0.66283294697137 |
Real period |
R |
3.3955384255618 |
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 |
14196h1 336a1 |
Quadratic twists by: -4 13 |