Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800cj |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-53000000 = -1 · 26 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -6 -3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,-4000] |
[a1,a2,a3,a4,a6] |
Generators |
[2655120:15055100:59319] |
Generators of the group modulo torsion |
j |
-11852352/53 |
j-invariant |
L |
9.9854380315474 |
L(r)(E,1)/r! |
Ω |
0.51118719135276 |
Real period |
R |
9.7669094674457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800ck1 42400j1 3392o1 |
Quadratic twists by: -4 8 5 |