Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860i |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2801669588640000 = -1 · 28 · 36 · 54 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15297,-2440298] |
[a1,a2,a3,a4,a6] |
j |
2121167764784/15012375625 |
j-invariant |
L |
0.90271071117405 |
L(r)(E,1)/r! |
Ω |
0.22567767925386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540f2 |
Quadratic twists by: -3 |