Atkin-Lehner |
2+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800bk |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
339200000000 = 214 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9333,349037] |
[a1,a2,a3,a4,a6] |
Generators |
[112028:1941381:343] |
Generators of the group modulo torsion |
j |
14049280/53 |
j-invariant |
L |
9.3247366780073 |
L(r)(E,1)/r! |
Ω |
0.96537656559248 |
Real period |
R |
9.6591703339219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800cq1 5300f1 84800i1 |
Quadratic twists by: -4 8 5 |