Atkin-Lehner |
2+ 11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64328c |
Isogeny class |
Conductor |
64328 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-14302230919856 = -1 · 24 · 114 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11+ 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-562347,162126314] |
[a1,a2,a3,a4,a6] |
Generators |
[53105:34969:125] [433:17:1] |
Generators of the group modulo torsion |
j |
-1229186125829549590528/893889432491 |
j-invariant |
L |
8.7717193116372 |
L(r)(E,1)/r! |
Ω |
0.58384992279234 |
Real period |
R |
0.75119640931827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128656h1 |
Quadratic twists by: -4 |