Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192bu |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-17460224 = -1 · 210 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 0 2 -4 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56,120] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1785:8] |
Generators of the group modulo torsion |
j |
18966528/17051 |
j-invariant |
L |
5.2418359726807 |
L(r)(E,1)/r! |
Ω |
1.4274286617319 |
Real period |
R |
3.6722227267476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192a1 16048a1 |
Quadratic twists by: -4 8 |