Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
64672c |
Isogeny class |
Conductor |
64672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
631157459264 = 26 · 43 · 475 |
Discriminant |
Eigenvalues |
2+ 2 -3 -2 -2 -4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137382,-19553644] |
[a1,a2,a3,a4,a6] |
Generators |
[659:13254:1] [-13660:141:64] |
Generators of the group modulo torsion |
j |
4480602356217633472/9861835301 |
j-invariant |
L |
11.000424491575 |
L(r)(E,1)/r! |
Ω |
0.24798013378462 |
Real period |
R |
4.4360103866843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64672i1 129344t1 |
Quadratic twists by: -4 8 |