Atkin-Lehner |
3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24321g |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-28842784641 = -1 · 35 · 116 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -3 3 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96137,-11513248] |
[a1,a2,a3,a4,a6] |
j |
-55467626237353/16281 |
j-invariant |
L |
0.27112956799968 |
L(r)(E,1)/r! |
Ω |
0.13556478399969 |
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 |
72963l1 201c1 |
Quadratic twists by: -3 -11 |