Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120d |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-61053750000 = -1 · 24 · 36 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,14047] |
[a1,a2,a3,a4,a6] |
j |
-3583365376/5234375 |
j-invariant |
L |
1.9940436938028 |
L(r)(E,1)/r! |
Ω |
0.99702184690138 |
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 |
48240l1 2680f1 120600bu1 |
Quadratic twists by: -4 -3 5 |