Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978f |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0124666889203E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2730051,1723432837] |
[a1,a2,a3,a4,a6] |
j |
59914169497/535824 |
j-invariant |
L |
1.7383208909968 |
L(r)(E,1)/r! |
Ω |
0.21729011017138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22326h2 1098k2 |
Quadratic twists by: -3 61 |