Atkin-Lehner |
2+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680b |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-32476400 = -1 · 24 · 52 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11+ 6 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,-401] |
[a1,a2,a3,a4,a6] |
Generators |
[543:2195:27] |
Generators of the group modulo torsion |
j |
-3074301184/2029775 |
j-invariant |
L |
7.2912282015845 |
L(r)(E,1)/r! |
Ω |
0.78439778433953 |
Real period |
R |
4.6476598654771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26840g1 |
Quadratic twists by: -4 |