Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150cs |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10188281250 = -1 · 2 · 34 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888,-11358] |
[a1,a2,a3,a4,a6] |
j |
-198259105/26082 |
j-invariant |
L |
5.2092031691194 |
L(r)(E,1)/r! |
Ω |
0.43410026409329 |
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 |
72450ca1 24150a1 |
Quadratic twists by: -3 5 |