Atkin-Lehner |
2+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84800m |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
17367040000000 = 222 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6700,-66000] |
[a1,a2,a3,a4,a6] |
j |
8120601/4240 |
j-invariant |
L |
2.2359474003152 |
L(r)(E,1)/r! |
Ω |
0.55898682019139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84800bu1 2650f1 16960a1 |
Quadratic twists by: -4 8 5 |