Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720g |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-648019968000000000 = -1 · 230 · 3 · 59 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156536,45530736] |
[a1,a2,a3,a4,a6] |
j |
-103564099802433529/158208000000000 |
j-invariant |
L |
0.51715185144316 |
L(r)(E,1)/r! |
Ω |
0.25857592572156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3090b3 98880bv3 74160bl3 123600ce3 |
Quadratic twists by: -4 8 -3 5 |