Atkin-Lehner |
2+ 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24738b |
Isogeny class |
Conductor |
24738 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
560929598208 = 28 · 312 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5629285,5140297808] |
[a1,a2,a3,a4,a6] |
j |
19728011453387557712728393/560929598208 |
j-invariant |
L |
2.9193758149802 |
L(r)(E,1)/r! |
Ω |
0.48656263583005 |
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 |
74214p4 |
Quadratic twists by: -3 |