Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800ck |
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 |
[20:50:1] |
Generators of the group modulo torsion |
j |
-11852352/53 |
j-invariant |
L |
4.7213058043775 |
L(r)(E,1)/r! |
Ω |
2.0048332220559 |
Real period |
R |
1.1774809372466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800cj1 42400i1 3392n1 |
Quadratic twists by: -4 8 5 |