Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856bf |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
235566144 = 26 · 39 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15141,717100] |
[a1,a2,a3,a4,a6] |
Generators |
[53:252:1] |
Generators of the group modulo torsion |
j |
8227727284672/5049 |
j-invariant |
L |
6.1968736224599 |
L(r)(E,1)/r! |
Ω |
1.4529617591963 |
Real period |
R |
2.1324971504622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856l1 107712bl1 17952e1 |
Quadratic twists by: -4 8 -3 |