Atkin-Lehner |
2+ 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24174d |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
899632596304207872 = 213 · 36 · 176 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-320442,52921268] |
[a1,a2,a3,a4,a6] |
j |
4991662883279390625/1234063918112768 |
j-invariant |
L |
1.5767936593747 |
L(r)(E,1)/r! |
Ω |
0.26279894322912 |
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 |
2686b2 |
Quadratic twists by: -3 |