Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360dn |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
-7.1512413391252E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117830020,-638709572632] |
[a1,a2,a3,a4,a6] |
j |
-29279123829148431184/11573052978515625 |
j-invariant |
L |
2.5169460478995 |
L(r)(E,1)/r! |
Ω |
0.022472732559903 |
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 |
17340d2 4080s2 |
Quadratic twists by: -4 17 |