Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41004a |
Isogeny class |
Conductor |
41004 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-384529607424 = -1 · 28 · 39 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 -5 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,864,-28188] |
[a1,a2,a3,a4,a6] |
Generators |
[28:134:1] |
Generators of the group modulo torsion |
j |
14155776/76313 |
j-invariant |
L |
5.3965507793191 |
L(r)(E,1)/r! |
Ω |
0.47733739573801 |
Real period |
R |
0.94212724366132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41004b1 |
Quadratic twists by: -3 |