Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736g |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
406024192 = 212 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -2 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2289,42913] |
[a1,a2,a3,a4,a6] |
Generators |
[31:28:1] [-32:287:1] |
Generators of the group modulo torsion |
j |
1120967488/343 |
j-invariant |
L |
7.6404134021751 |
L(r)(E,1)/r! |
Ω |
1.6476963539675 |
Real period |
R |
0.77283792649786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64736a1 129472cx1 64736c1 |
Quadratic twists by: -4 8 17 |