Atkin-Lehner |
2- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
64672i |
Isogeny class |
Conductor |
64672 |
Conductor |
∏ cp |
2 |
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 |
[214:6:1] |
Generators of the group modulo torsion |
j |
4480602356217633472/9861835301 |
j-invariant |
L |
4.0263366635744 |
L(r)(E,1)/r! |
Ω |
0.78675423219884 |
Real period |
R |
2.558827458017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64672c1 129344f1 |
Quadratic twists by: -4 8 |