Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480d |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-13151550744000 = -1 · 26 · 39 · 53 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4077,-201204] |
[a1,a2,a3,a4,a6] |
j |
-5949419328/10440125 |
j-invariant |
L |
1.6922913673132 |
L(r)(E,1)/r! |
Ω |
0.28204856121889 |
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 |
24480y1 48960e1 24480w1 122400ch1 |
Quadratic twists by: -4 8 -3 5 |