Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192b |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 1 -2 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-197] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11:1] |
Generators of the group modulo torsion |
j |
131072/17051 |
j-invariant |
L |
9.7987386006425 |
L(r)(E,1)/r! |
Ω |
1.0354582641671 |
Real period |
R |
2.3657975748558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bv1 4012b1 |
Quadratic twists by: -4 8 |